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Simplifying 3(2x + -3) + -3(-2x + 3) = 15x + -9 Reorder the terms: 3(-3 + 2x) + -3(-2x + 3) = 15x + -9 (-3 * 3 + 2x * 3) + -3(-2x + 3) = 15x + -9 (-9 + 6x) + -3(-2x + 3) = 15x + -9 Reorder the terms: -9 + 6x + -3(3 + -2x) = 15x + -9 -9 + 6x + (3 * -3 + -2x * -3) = 15x + -9 -9 + 6x + (-9 + 6x) = 15x + -9 Reorder the terms: -9 + -9 + 6x + 6x = 15x + -9 Combine like terms: -9 + -9 = -18 -18 + 6x + 6x = 15x + -9 Combine like terms: 6x + 6x = 12x -18 + 12x = 15x + -9 Reorder the terms: -18 + 12x = -9 + 15x Solving -18 + 12x = -9 + 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. -18 + 12x + -15x = -9 + 15x + -15x Combine like terms: 12x + -15x = -3x -18 + -3x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 -18 + -3x = -9 + 0 -18 + -3x = -9 Add '18' to each side of the equation. -18 + 18 + -3x = -9 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -9 + 18 -3x = -9 + 18 Combine like terms: -9 + 18 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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