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Simplifying 12[4x + (-5x + 12) + -4] + 3x + -2(5x + 12) = 75 Reorder the terms: 12[4x + (12 + -5x) + -4] + 3x + -2(5x + 12) = 75 Remove parenthesis around (12 + -5x) 12[4x + 12 + -5x + -4] + 3x + -2(5x + 12) = 75 Reorder the terms: 12[12 + -4 + 4x + -5x] + 3x + -2(5x + 12) = 75 Combine like terms: 12 + -4 = 8 12[8 + 4x + -5x] + 3x + -2(5x + 12) = 75 Combine like terms: 4x + -5x = -1x 12[8 + -1x] + 3x + -2(5x + 12) = 75 [8 * 12 + -1x * 12] + 3x + -2(5x + 12) = 75 [96 + -12x] + 3x + -2(5x + 12) = 75 Reorder the terms: 96 + -12x + 3x + -2(12 + 5x) = 75 96 + -12x + 3x + (12 * -2 + 5x * -2) = 75 96 + -12x + 3x + (-24 + -10x) = 75 Reorder the terms: 96 + -24 + -12x + 3x + -10x = 75 Combine like terms: 96 + -24 = 72 72 + -12x + 3x + -10x = 75 Combine like terms: -12x + 3x = -9x 72 + -9x + -10x = 75 Combine like terms: -9x + -10x = -19x 72 + -19x = 75 Solving 72 + -19x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -19x = 75 + -72 Combine like terms: 72 + -72 = 0 0 + -19x = 75 + -72 -19x = 75 + -72 Combine like terms: 75 + -72 = 3 -19x = 3 Divide each side by '-19'. x = -0.1578947368 Simplifying x = -0.1578947368
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