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Simplifying -6x + 8(x + 1) = 5x + -10 Reorder the terms: -6x + 8(1 + x) = 5x + -10 -6x + (1 * 8 + x * 8) = 5x + -10 -6x + (8 + 8x) = 5x + -10 Reorder the terms: 8 + -6x + 8x = 5x + -10 Combine like terms: -6x + 8x = 2x 8 + 2x = 5x + -10 Reorder the terms: 8 + 2x = -10 + 5x Solving 8 + 2x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 2x + -5x = -10 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = -10 + 0 8 + -3x = -10 Add '-8' to each side of the equation. 8 + -8 + -3x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -10 + -8 -3x = -10 + -8 Combine like terms: -10 + -8 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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