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Simplifying 2(x + 5) = 3(2x + -6) Reorder the terms: 2(5 + x) = 3(2x + -6) (5 * 2 + x * 2) = 3(2x + -6) (10 + 2x) = 3(2x + -6) Reorder the terms: 10 + 2x = 3(-6 + 2x) 10 + 2x = (-6 * 3 + 2x * 3) 10 + 2x = (-18 + 6x) Solving 10 + 2x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 2x + -6x = -18 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = -18 + 0 10 + -4x = -18 Add '-10' to each side of the equation. 10 + -10 + -4x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -18 + -10 -4x = -18 + -10 Combine like terms: -18 + -10 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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