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Simplifying 3(x + -4) + 7 = -1(3 + -1x) + -24 Reorder the terms: 3(-4 + x) + 7 = -1(3 + -1x) + -24 (-4 * 3 + x * 3) + 7 = -1(3 + -1x) + -24 (-12 + 3x) + 7 = -1(3 + -1x) + -24 Reorder the terms: -12 + 7 + 3x = -1(3 + -1x) + -24 Combine like terms: -12 + 7 = -5 -5 + 3x = -1(3 + -1x) + -24 -5 + 3x = (3 * -1 + -1x * -1) + -24 -5 + 3x = (-3 + 1x) + -24 Reorder the terms: -5 + 3x = -3 + -24 + 1x Combine like terms: -3 + -24 = -27 -5 + 3x = -27 + 1x Solving -5 + 3x = -27 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 3x + -1x = -27 + 1x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = -27 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 2x = -27 + 0 -5 + 2x = -27 Add '5' to each side of the equation. -5 + 5 + 2x = -27 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -27 + 5 2x = -27 + 5 Combine like terms: -27 + 5 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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