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Simplifying 2(6x + 4) + 24 = 32 + -3(16 + -3x) + -40 Reorder the terms: 2(4 + 6x) + 24 = 32 + -3(16 + -3x) + -40 (4 * 2 + 6x * 2) + 24 = 32 + -3(16 + -3x) + -40 (8 + 12x) + 24 = 32 + -3(16 + -3x) + -40 Reorder the terms: 8 + 24 + 12x = 32 + -3(16 + -3x) + -40 Combine like terms: 8 + 24 = 32 32 + 12x = 32 + -3(16 + -3x) + -40 32 + 12x = 32 + (16 * -3 + -3x * -3) + -40 32 + 12x = 32 + (-48 + 9x) + -40 Reorder the terms: 32 + 12x = 32 + -48 + -40 + 9x Combine like terms: 32 + -48 = -16 32 + 12x = -16 + -40 + 9x Combine like terms: -16 + -40 = -56 32 + 12x = -56 + 9x Solving 32 + 12x = -56 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 12x + -9x = -56 + 9x + -9x Combine like terms: 12x + -9x = 3x 32 + 3x = -56 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + 3x = -56 + 0 32 + 3x = -56 Add '-32' to each side of the equation. 32 + -32 + 3x = -56 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = -56 + -32 3x = -56 + -32 Combine like terms: -56 + -32 = -88 3x = -88 Divide each side by '3'. x = -29.33333333 Simplifying x = -29.33333333
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