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Simplifying -7(x + -3) + -1(4x + -3) = -12x Reorder the terms: -7(-3 + x) + -1(4x + -3) = -12x (-3 * -7 + x * -7) + -1(4x + -3) = -12x (21 + -7x) + -1(4x + -3) = -12x Reorder the terms: 21 + -7x + -1(-3 + 4x) = -12x 21 + -7x + (-3 * -1 + 4x * -1) = -12x 21 + -7x + (3 + -4x) = -12x Reorder the terms: 21 + 3 + -7x + -4x = -12x Combine like terms: 21 + 3 = 24 24 + -7x + -4x = -12x Combine like terms: -7x + -4x = -11x 24 + -11x = -12x Solving 24 + -11x = -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. 24 + -11x + 12x = -12x + 12x Combine like terms: -11x + 12x = 1x 24 + 1x = -12x + 12x Combine like terms: -12x + 12x = 0 24 + 1x = 0 Add '-24' to each side of the equation. 24 + -24 + 1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 0 + -24 1x = 0 + -24 Combine like terms: 0 + -24 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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