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Simplifying -6(x + -3) = 10(x + 5) Reorder the terms: -6(-3 + x) = 10(x + 5) (-3 * -6 + x * -6) = 10(x + 5) (18 + -6x) = 10(x + 5) Reorder the terms: 18 + -6x = 10(5 + x) 18 + -6x = (5 * 10 + x * 10) 18 + -6x = (50 + 10x) Solving 18 + -6x = 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. 18 + -6x + -10x = 50 + 10x + -10x Combine like terms: -6x + -10x = -16x 18 + -16x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -16x = 50 + 0 18 + -16x = 50 Add '-18' to each side of the equation. 18 + -18 + -16x = 50 + -18 Combine like terms: 18 + -18 = 0 0 + -16x = 50 + -18 -16x = 50 + -18 Combine like terms: 50 + -18 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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