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Simplifying 2 + (6x + 4x + -42x) + -22x + -150x = 100 + 2x + -3x + -4x + -5x + -6x + -7x + -8x + -9x + 100x Combine like terms: 6x + 4x = 10x 2 + (10x + -42x) + -22x + -150x = 100 + 2x + -3x + -4x + -5x + -6x + -7x + -8x + -9x + 100x Combine like terms: 10x + -42x = -32x 2 + (-32x) + -22x + -150x = 100 + 2x + -3x + -4x + -5x + -6x + -7x + -8x + -9x + 100x 2 + (-32x) + -22x + -150x = 100 + 2x + -3x + -4x + -5x + -6x + -7x + -8x + -9x + 100x Combine like terms: (-32x) + -22x = -54x 2 + -54x + -150x = 100 + 2x + -3x + -4x + -5x + -6x + -7x + -8x + -9x + 100x Combine like terms: -54x + -150x = -204x 2 + -204x = 100 + 2x + -3x + -4x + -5x + -6x + -7x + -8x + -9x + 100x Combine like terms: 2x + -3x = -1x 2 + -204x = 100 + -1x + -4x + -5x + -6x + -7x + -8x + -9x + 100x Combine like terms: -1x + -4x = -5x 2 + -204x = 100 + -5x + -5x + -6x + -7x + -8x + -9x + 100x Combine like terms: -5x + -5x = -10x 2 + -204x = 100 + -10x + -6x + -7x + -8x + -9x + 100x Combine like terms: -10x + -6x = -16x 2 + -204x = 100 + -16x + -7x + -8x + -9x + 100x Combine like terms: -16x + -7x = -23x 2 + -204x = 100 + -23x + -8x + -9x + 100x Combine like terms: -23x + -8x = -31x 2 + -204x = 100 + -31x + -9x + 100x Combine like terms: -31x + -9x = -40x 2 + -204x = 100 + -40x + 100x Combine like terms: -40x + 100x = 60x 2 + -204x = 100 + 60x Solving 2 + -204x = 100 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 2 + -204x + -60x = 100 + 60x + -60x Combine like terms: -204x + -60x = -264x 2 + -264x = 100 + 60x + -60x Combine like terms: 60x + -60x = 0 2 + -264x = 100 + 0 2 + -264x = 100 Add '-2' to each side of the equation. 2 + -2 + -264x = 100 + -2 Combine like terms: 2 + -2 = 0 0 + -264x = 100 + -2 -264x = 100 + -2 Combine like terms: 100 + -2 = 98 -264x = 98 Divide each side by '-264'. x = -0.3712121212 Simplifying x = -0.3712121212
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