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Simplifying 2(x + -4) + 3x + -2 + 2 * 2 * 2 + 3(4 + -1x) + -4x + 10x + -60 = 100 Reorder the terms: 2(-4 + x) + 3x + -2 + 2 * 2 * 2 + 3(4 + -1x) + -4x + 10x + -60 = 100 (-4 * 2 + x * 2) + 3x + -2 + 2 * 2 * 2 + 3(4 + -1x) + -4x + 10x + -60 = 100 (-8 + 2x) + 3x + -2 + 2 * 2 * 2 + 3(4 + -1x) + -4x + 10x + -60 = 100 Multiply 2 * 2 -8 + 2x + 3x + -2 + 4 * 2 + 3(4 + -1x) + -4x + 10x + -60 = 100 Multiply 4 * 2 -8 + 2x + 3x + -2 + 8 + 3(4 + -1x) + -4x + 10x + -60 = 100 -8 + 2x + 3x + -2 + 8 + (4 * 3 + -1x * 3) + -4x + 10x + -60 = 100 -8 + 2x + 3x + -2 + 8 + (12 + -3x) + -4x + 10x + -60 = 100 Reorder the terms: -8 + -2 + 8 + 12 + -60 + 2x + 3x + -3x + -4x + 10x = 100 Combine like terms: -8 + -2 = -10 -10 + 8 + 12 + -60 + 2x + 3x + -3x + -4x + 10x = 100 Combine like terms: -10 + 8 = -2 -2 + 12 + -60 + 2x + 3x + -3x + -4x + 10x = 100 Combine like terms: -2 + 12 = 10 10 + -60 + 2x + 3x + -3x + -4x + 10x = 100 Combine like terms: 10 + -60 = -50 -50 + 2x + 3x + -3x + -4x + 10x = 100 Combine like terms: 2x + 3x = 5x -50 + 5x + -3x + -4x + 10x = 100 Combine like terms: 5x + -3x = 2x -50 + 2x + -4x + 10x = 100 Combine like terms: 2x + -4x = -2x -50 + -2x + 10x = 100 Combine like terms: -2x + 10x = 8x -50 + 8x = 100 Solving -50 + 8x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 8x = 100 + 50 Combine like terms: -50 + 50 = 0 0 + 8x = 100 + 50 8x = 100 + 50 Combine like terms: 100 + 50 = 150 8x = 150 Divide each side by '8'. x = 18.75 Simplifying x = 18.75
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