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