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Simplifying 2(3x + 5) + -24 = -29 + -3(4x + 7) Reorder the terms: 2(5 + 3x) + -24 = -29 + -3(4x + 7) (5 * 2 + 3x * 2) + -24 = -29 + -3(4x + 7) (10 + 6x) + -24 = -29 + -3(4x + 7) Reorder the terms: 10 + -24 + 6x = -29 + -3(4x + 7) Combine like terms: 10 + -24 = -14 -14 + 6x = -29 + -3(4x + 7) Reorder the terms: -14 + 6x = -29 + -3(7 + 4x) -14 + 6x = -29 + (7 * -3 + 4x * -3) -14 + 6x = -29 + (-21 + -12x) Combine like terms: -29 + -21 = -50 -14 + 6x = -50 + -12x Solving -14 + 6x = -50 + -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 + 6x + 12x = -50 + -12x + 12x Combine like terms: 6x + 12x = 18x -14 + 18x = -50 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 18x = -50 + 0 -14 + 18x = -50 Add '14' to each side of the equation. -14 + 14 + 18x = -50 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = -50 + 14 18x = -50 + 14 Combine like terms: -50 + 14 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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