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Simplifying 2(8 + -1x) + -1(x + 2) = 5 + 5(x + -3) (8 * 2 + -1x * 2) + -1(x + 2) = 5 + 5(x + -3) (16 + -2x) + -1(x + 2) = 5 + 5(x + -3) Reorder the terms: 16 + -2x + -1(2 + x) = 5 + 5(x + -3) 16 + -2x + (2 * -1 + x * -1) = 5 + 5(x + -3) 16 + -2x + (-2 + -1x) = 5 + 5(x + -3) Reorder the terms: 16 + -2 + -2x + -1x = 5 + 5(x + -3) Combine like terms: 16 + -2 = 14 14 + -2x + -1x = 5 + 5(x + -3) Combine like terms: -2x + -1x = -3x 14 + -3x = 5 + 5(x + -3) Reorder the terms: 14 + -3x = 5 + 5(-3 + x) 14 + -3x = 5 + (-3 * 5 + x * 5) 14 + -3x = 5 + (-15 + 5x) Combine like terms: 5 + -15 = -10 14 + -3x = -10 + 5x Solving 14 + -3x = -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. 14 + -3x + -5x = -10 + 5x + -5x Combine like terms: -3x + -5x = -8x 14 + -8x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -8x = -10 + 0 14 + -8x = -10 Add '-14' to each side of the equation. 14 + -14 + -8x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -10 + -14 -8x = -10 + -14 Combine like terms: -10 + -14 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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