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Simplifying 3(2x + -1) = 5x + -2(2x + -6) Reorder the terms: 3(-1 + 2x) = 5x + -2(2x + -6) (-1 * 3 + 2x * 3) = 5x + -2(2x + -6) (-3 + 6x) = 5x + -2(2x + -6) Reorder the terms: -3 + 6x = 5x + -2(-6 + 2x) -3 + 6x = 5x + (-6 * -2 + 2x * -2) -3 + 6x = 5x + (12 + -4x) Reorder the terms: -3 + 6x = 12 + 5x + -4x Combine like terms: 5x + -4x = 1x -3 + 6x = 12 + 1x Solving -3 + 6x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 6x + -1x = 12 + 1x + -1x Combine like terms: 6x + -1x = 5x -3 + 5x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 5x = 12 + 0 -3 + 5x = 12 Add '3' to each side of the equation. -3 + 3 + 5x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 12 + 3 5x = 12 + 3 Combine like terms: 12 + 3 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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