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Simplifying 3(6x + -5) + 3(9 + -3x) + -4(2x + 2) = -3 Reorder the terms: 3(-5 + 6x) + 3(9 + -3x) + -4(2x + 2) = -3 (-5 * 3 + 6x * 3) + 3(9 + -3x) + -4(2x + 2) = -3 (-15 + 18x) + 3(9 + -3x) + -4(2x + 2) = -3 -15 + 18x + (9 * 3 + -3x * 3) + -4(2x + 2) = -3 -15 + 18x + (27 + -9x) + -4(2x + 2) = -3 Reorder the terms: -15 + 18x + 27 + -9x + -4(2 + 2x) = -3 -15 + 18x + 27 + -9x + (2 * -4 + 2x * -4) = -3 -15 + 18x + 27 + -9x + (-8 + -8x) = -3 Reorder the terms: -15 + 27 + -8 + 18x + -9x + -8x = -3 Combine like terms: -15 + 27 = 12 12 + -8 + 18x + -9x + -8x = -3 Combine like terms: 12 + -8 = 4 4 + 18x + -9x + -8x = -3 Combine like terms: 18x + -9x = 9x 4 + 9x + -8x = -3 Combine like terms: 9x + -8x = 1x 4 + 1x = -3 Solving 4 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -3 + -4 1x = -3 + -4 Combine like terms: -3 + -4 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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