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Simplifying -12x + -4(5 + 10x) = 11(-3x + 12) -12x + (5 * -4 + 10x * -4) = 11(-3x + 12) -12x + (-20 + -40x) = 11(-3x + 12) Reorder the terms: -20 + -12x + -40x = 11(-3x + 12) Combine like terms: -12x + -40x = -52x -20 + -52x = 11(-3x + 12) Reorder the terms: -20 + -52x = 11(12 + -3x) -20 + -52x = (12 * 11 + -3x * 11) -20 + -52x = (132 + -33x) Solving -20 + -52x = 132 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -20 + -52x + 33x = 132 + -33x + 33x Combine like terms: -52x + 33x = -19x -20 + -19x = 132 + -33x + 33x Combine like terms: -33x + 33x = 0 -20 + -19x = 132 + 0 -20 + -19x = 132 Add '20' to each side of the equation. -20 + 20 + -19x = 132 + 20 Combine like terms: -20 + 20 = 0 0 + -19x = 132 + 20 -19x = 132 + 20 Combine like terms: 132 + 20 = 152 -19x = 152 Divide each side by '-19'. x = -8 Simplifying x = -8
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