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Simplifying 6(x + 8) = 2(x + -10) Reorder the terms: 6(8 + x) = 2(x + -10) (8 * 6 + x * 6) = 2(x + -10) (48 + 6x) = 2(x + -10) Reorder the terms: 48 + 6x = 2(-10 + x) 48 + 6x = (-10 * 2 + x * 2) 48 + 6x = (-20 + 2x) Solving 48 + 6x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + 6x + -2x = -20 + 2x + -2x Combine like terms: 6x + -2x = 4x 48 + 4x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 4x = -20 + 0 48 + 4x = -20 Add '-48' to each side of the equation. 48 + -48 + 4x = -20 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = -20 + -48 4x = -20 + -48 Combine like terms: -20 + -48 = -68 4x = -68 Divide each side by '4'. x = -17 Simplifying x = -17
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