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