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Simplifying 2(2x + -2) = 3(6x + 3) Reorder the terms: 2(-2 + 2x) = 3(6x + 3) (-2 * 2 + 2x * 2) = 3(6x + 3) (-4 + 4x) = 3(6x + 3) Reorder the terms: -4 + 4x = 3(3 + 6x) -4 + 4x = (3 * 3 + 6x * 3) -4 + 4x = (9 + 18x) Solving -4 + 4x = 9 + 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. -4 + 4x + -18x = 9 + 18x + -18x Combine like terms: 4x + -18x = -14x -4 + -14x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + -14x = 9 + 0 -4 + -14x = 9 Add '4' to each side of the equation. -4 + 4 + -14x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = 9 + 4 -14x = 9 + 4 Combine like terms: 9 + 4 = 13 -14x = 13 Divide each side by '-14'. x = -0.9285714286 Simplifying x = -0.9285714286
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