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Simplifying -5(x + -2) + -6(x + -8) = -5(x + -2) + -5(x + -8) Reorder the terms: -5(-2 + x) + -6(x + -8) = -5(x + -2) + -5(x + -8) (-2 * -5 + x * -5) + -6(x + -8) = -5(x + -2) + -5(x + -8) (10 + -5x) + -6(x + -8) = -5(x + -2) + -5(x + -8) Reorder the terms: 10 + -5x + -6(-8 + x) = -5(x + -2) + -5(x + -8) 10 + -5x + (-8 * -6 + x * -6) = -5(x + -2) + -5(x + -8) 10 + -5x + (48 + -6x) = -5(x + -2) + -5(x + -8) Reorder the terms: 10 + 48 + -5x + -6x = -5(x + -2) + -5(x + -8) Combine like terms: 10 + 48 = 58 58 + -5x + -6x = -5(x + -2) + -5(x + -8) Combine like terms: -5x + -6x = -11x 58 + -11x = -5(x + -2) + -5(x + -8) Reorder the terms: 58 + -11x = -5(-2 + x) + -5(x + -8) 58 + -11x = (-2 * -5 + x * -5) + -5(x + -8) 58 + -11x = (10 + -5x) + -5(x + -8) Reorder the terms: 58 + -11x = 10 + -5x + -5(-8 + x) 58 + -11x = 10 + -5x + (-8 * -5 + x * -5) 58 + -11x = 10 + -5x + (40 + -5x) Reorder the terms: 58 + -11x = 10 + 40 + -5x + -5x Combine like terms: 10 + 40 = 50 58 + -11x = 50 + -5x + -5x Combine like terms: -5x + -5x = -10x 58 + -11x = 50 + -10x Solving 58 + -11x = 50 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 58 + -11x + 10x = 50 + -10x + 10x Combine like terms: -11x + 10x = -1x 58 + -1x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 58 + -1x = 50 + 0 58 + -1x = 50 Add '-58' to each side of the equation. 58 + -58 + -1x = 50 + -58 Combine like terms: 58 + -58 = 0 0 + -1x = 50 + -58 -1x = 50 + -58 Combine like terms: 50 + -58 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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