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Simplifying 52 = -2x + 3(4x + -6) Reorder the terms: 52 = -2x + 3(-6 + 4x) 52 = -2x + (-6 * 3 + 4x * 3) 52 = -2x + (-18 + 12x) Reorder the terms: 52 = -18 + -2x + 12x Combine like terms: -2x + 12x = 10x 52 = -18 + 10x Solving 52 = -18 + 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. 52 + -10x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 52 + -10x = -18 + 0 52 + -10x = -18 Add '-52' to each side of the equation. 52 + -52 + -10x = -18 + -52 Combine like terms: 52 + -52 = 0 0 + -10x = -18 + -52 -10x = -18 + -52 Combine like terms: -18 + -52 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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