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Simplifying 3(6x + -3) + 2(6 + -4x) + -3(3x + 5) = -3 Reorder the terms: 3(-3 + 6x) + 2(6 + -4x) + -3(3x + 5) = -3 (-3 * 3 + 6x * 3) + 2(6 + -4x) + -3(3x + 5) = -3 (-9 + 18x) + 2(6 + -4x) + -3(3x + 5) = -3 -9 + 18x + (6 * 2 + -4x * 2) + -3(3x + 5) = -3 -9 + 18x + (12 + -8x) + -3(3x + 5) = -3 Reorder the terms: -9 + 18x + 12 + -8x + -3(5 + 3x) = -3 -9 + 18x + 12 + -8x + (5 * -3 + 3x * -3) = -3 -9 + 18x + 12 + -8x + (-15 + -9x) = -3 Reorder the terms: -9 + 12 + -15 + 18x + -8x + -9x = -3 Combine like terms: -9 + 12 = 3 3 + -15 + 18x + -8x + -9x = -3 Combine like terms: 3 + -15 = -12 -12 + 18x + -8x + -9x = -3 Combine like terms: 18x + -8x = 10x -12 + 10x + -9x = -3 Combine like terms: 10x + -9x = 1x -12 + 1x = -3 Solving -12 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -3 + 12 1x = -3 + 12 Combine like terms: -3 + 12 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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