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Simplifying 5(-3 + 12x) = -3x + 6(11x + -1) (-3 * 5 + 12x * 5) = -3x + 6(11x + -1) (-15 + 60x) = -3x + 6(11x + -1) Reorder the terms: -15 + 60x = -3x + 6(-1 + 11x) -15 + 60x = -3x + (-1 * 6 + 11x * 6) -15 + 60x = -3x + (-6 + 66x) Reorder the terms: -15 + 60x = -6 + -3x + 66x Combine like terms: -3x + 66x = 63x -15 + 60x = -6 + 63x Solving -15 + 60x = -6 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -15 + 60x + -63x = -6 + 63x + -63x Combine like terms: 60x + -63x = -3x -15 + -3x = -6 + 63x + -63x Combine like terms: 63x + -63x = 0 -15 + -3x = -6 + 0 -15 + -3x = -6 Add '15' to each side of the equation. -15 + 15 + -3x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -6 + 15 -3x = -6 + 15 Combine like terms: -6 + 15 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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