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Simplifying 6(-3x + 2) = -2(5x + -2) Reorder the terms: 6(2 + -3x) = -2(5x + -2) (2 * 6 + -3x * 6) = -2(5x + -2) (12 + -18x) = -2(5x + -2) Reorder the terms: 12 + -18x = -2(-2 + 5x) 12 + -18x = (-2 * -2 + 5x * -2) 12 + -18x = (4 + -10x) Solving 12 + -18x = 4 + -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. 12 + -18x + 10x = 4 + -10x + 10x Combine like terms: -18x + 10x = -8x 12 + -8x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + -8x = 4 + 0 12 + -8x = 4 Add '-12' to each side of the equation. 12 + -12 + -8x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 4 + -12 -8x = 4 + -12 Combine like terms: 4 + -12 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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