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Simplifying 3(6x + -5) + 2(9 + -4x) + -3(3x + 4) = -2 Reorder the terms: 3(-5 + 6x) + 2(9 + -4x) + -3(3x + 4) = -2 (-5 * 3 + 6x * 3) + 2(9 + -4x) + -3(3x + 4) = -2 (-15 + 18x) + 2(9 + -4x) + -3(3x + 4) = -2 -15 + 18x + (9 * 2 + -4x * 2) + -3(3x + 4) = -2 -15 + 18x + (18 + -8x) + -3(3x + 4) = -2 Reorder the terms: -15 + 18x + 18 + -8x + -3(4 + 3x) = -2 -15 + 18x + 18 + -8x + (4 * -3 + 3x * -3) = -2 -15 + 18x + 18 + -8x + (-12 + -9x) = -2 Reorder the terms: -15 + 18 + -12 + 18x + -8x + -9x = -2 Combine like terms: -15 + 18 = 3 3 + -12 + 18x + -8x + -9x = -2 Combine like terms: 3 + -12 = -9 -9 + 18x + -8x + -9x = -2 Combine like terms: 18x + -8x = 10x -9 + 10x + -9x = -2 Combine like terms: 10x + -9x = 1x -9 + 1x = -2 Solving -9 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -2 + 9 1x = -2 + 9 Combine like terms: -2 + 9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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