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Simplifying 8(2x + -2) = 3(6x + -6) Reorder the terms: 8(-2 + 2x) = 3(6x + -6) (-2 * 8 + 2x * 8) = 3(6x + -6) (-16 + 16x) = 3(6x + -6) Reorder the terms: -16 + 16x = 3(-6 + 6x) -16 + 16x = (-6 * 3 + 6x * 3) -16 + 16x = (-18 + 18x) Solving -16 + 16x = -18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -16 + 16x + -18x = -18 + 18x + -18x Combine like terms: 16x + -18x = -2x -16 + -2x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 -16 + -2x = -18 + 0 -16 + -2x = -18 Add '16' to each side of the equation. -16 + 16 + -2x = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -18 + 16 -2x = -18 + 16 Combine like terms: -18 + 16 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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