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Simplifying 2(2x + -5) = 3(6x + 3) Reorder the terms: 2(-5 + 2x) = 3(6x + 3) (-5 * 2 + 2x * 2) = 3(6x + 3) (-10 + 4x) = 3(6x + 3) Reorder the terms: -10 + 4x = 3(3 + 6x) -10 + 4x = (3 * 3 + 6x * 3) -10 + 4x = (9 + 18x) Solving -10 + 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. -10 + 4x + -18x = 9 + 18x + -18x Combine like terms: 4x + -18x = -14x -10 + -14x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 -10 + -14x = 9 + 0 -10 + -14x = 9 Add '10' to each side of the equation. -10 + 10 + -14x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + -14x = 9 + 10 -14x = 9 + 10 Combine like terms: 9 + 10 = 19 -14x = 19 Divide each side by '-14'. x = -1.357142857 Simplifying x = -1.357142857
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