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Simplifying 3x + -6(2x + 1) + -1x = 4x + 99 + -5x + 1 Reorder the terms: 3x + -6(1 + 2x) + -1x = 4x + 99 + -5x + 1 3x + (1 * -6 + 2x * -6) + -1x = 4x + 99 + -5x + 1 3x + (-6 + -12x) + -1x = 4x + 99 + -5x + 1 Reorder the terms: -6 + 3x + -12x + -1x = 4x + 99 + -5x + 1 Combine like terms: 3x + -12x = -9x -6 + -9x + -1x = 4x + 99 + -5x + 1 Combine like terms: -9x + -1x = -10x -6 + -10x = 4x + 99 + -5x + 1 Reorder the terms: -6 + -10x = 99 + 1 + 4x + -5x Combine like terms: 99 + 1 = 100 -6 + -10x = 100 + 4x + -5x Combine like terms: 4x + -5x = -1x -6 + -10x = 100 + -1x Solving -6 + -10x = 100 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + -10x + x = 100 + -1x + x Combine like terms: -10x + x = -9x -6 + -9x = 100 + -1x + x Combine like terms: -1x + x = 0 -6 + -9x = 100 + 0 -6 + -9x = 100 Add '6' to each side of the equation. -6 + 6 + -9x = 100 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 100 + 6 -9x = 100 + 6 Combine like terms: 100 + 6 = 106 -9x = 106 Divide each side by '-9'. x = -11.77777778 Simplifying x = -11.77777778
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