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Simplifying 2(5x + -2) = 12(2x + 1) Reorder the terms: 2(-2 + 5x) = 12(2x + 1) (-2 * 2 + 5x * 2) = 12(2x + 1) (-4 + 10x) = 12(2x + 1) Reorder the terms: -4 + 10x = 12(1 + 2x) -4 + 10x = (1 * 12 + 2x * 12) -4 + 10x = (12 + 24x) Solving -4 + 10x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -4 + 10x + -24x = 12 + 24x + -24x Combine like terms: 10x + -24x = -14x -4 + -14x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -4 + -14x = 12 + 0 -4 + -14x = 12 Add '4' to each side of the equation. -4 + 4 + -14x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = 12 + 4 -14x = 12 + 4 Combine like terms: 12 + 4 = 16 -14x = 16 Divide each side by '-14'. x = -1.142857143 Simplifying x = -1.142857143
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