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