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Simplifying 3(2x + -2) = 5(3x + 9) Reorder the terms: 3(-2 + 2x) = 5(3x + 9) (-2 * 3 + 2x * 3) = 5(3x + 9) (-6 + 6x) = 5(3x + 9) Reorder the terms: -6 + 6x = 5(9 + 3x) -6 + 6x = (9 * 5 + 3x * 5) -6 + 6x = (45 + 15x) Solving -6 + 6x = 45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + 6x + -15x = 45 + 15x + -15x Combine like terms: 6x + -15x = -9x -6 + -9x = 45 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -9x = 45 + 0 -6 + -9x = 45 Add '6' to each side of the equation. -6 + 6 + -9x = 45 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 45 + 6 -9x = 45 + 6 Combine like terms: 45 + 6 = 51 -9x = 51 Divide each side by '-9'. x = -5.666666667 Simplifying x = -5.666666667
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