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Simplifying 6(3x + -5) + 3(18 + -3x) + -4(2x + 3) = -7 Reorder the terms: 6(-5 + 3x) + 3(18 + -3x) + -4(2x + 3) = -7 (-5 * 6 + 3x * 6) + 3(18 + -3x) + -4(2x + 3) = -7 (-30 + 18x) + 3(18 + -3x) + -4(2x + 3) = -7 -30 + 18x + (18 * 3 + -3x * 3) + -4(2x + 3) = -7 -30 + 18x + (54 + -9x) + -4(2x + 3) = -7 Reorder the terms: -30 + 18x + 54 + -9x + -4(3 + 2x) = -7 -30 + 18x + 54 + -9x + (3 * -4 + 2x * -4) = -7 -30 + 18x + 54 + -9x + (-12 + -8x) = -7 Reorder the terms: -30 + 54 + -12 + 18x + -9x + -8x = -7 Combine like terms: -30 + 54 = 24 24 + -12 + 18x + -9x + -8x = -7 Combine like terms: 24 + -12 = 12 12 + 18x + -9x + -8x = -7 Combine like terms: 18x + -9x = 9x 12 + 9x + -8x = -7 Combine like terms: 9x + -8x = 1x 12 + 1x = -7 Solving 12 + 1x = -7 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 = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -7 + -12 1x = -7 + -12 Combine like terms: -7 + -12 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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