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Simplifying 2(x + -7) = 3(4x + 5) + -24 Reorder the terms: 2(-7 + x) = 3(4x + 5) + -24 (-7 * 2 + x * 2) = 3(4x + 5) + -24 (-14 + 2x) = 3(4x + 5) + -24 Reorder the terms: -14 + 2x = 3(5 + 4x) + -24 -14 + 2x = (5 * 3 + 4x * 3) + -24 -14 + 2x = (15 + 12x) + -24 Reorder the terms: -14 + 2x = 15 + -24 + 12x Combine like terms: 15 + -24 = -9 -14 + 2x = -9 + 12x Solving -14 + 2x = -9 + 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. -14 + 2x + -12x = -9 + 12x + -12x Combine like terms: 2x + -12x = -10x -14 + -10x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -10x = -9 + 0 -14 + -10x = -9 Add '14' to each side of the equation. -14 + 14 + -10x = -9 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = -9 + 14 -10x = -9 + 14 Combine like terms: -9 + 14 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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