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Simplifying 12(2x + -8) = 4(5 + -2x) + 3(7 + -3x) Reorder the terms: 12(-8 + 2x) = 4(5 + -2x) + 3(7 + -3x) (-8 * 12 + 2x * 12) = 4(5 + -2x) + 3(7 + -3x) (-96 + 24x) = 4(5 + -2x) + 3(7 + -3x) -96 + 24x = (5 * 4 + -2x * 4) + 3(7 + -3x) -96 + 24x = (20 + -8x) + 3(7 + -3x) -96 + 24x = 20 + -8x + (7 * 3 + -3x * 3) -96 + 24x = 20 + -8x + (21 + -9x) Reorder the terms: -96 + 24x = 20 + 21 + -8x + -9x Combine like terms: 20 + 21 = 41 -96 + 24x = 41 + -8x + -9x Combine like terms: -8x + -9x = -17x -96 + 24x = 41 + -17x Solving -96 + 24x = 41 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -96 + 24x + 17x = 41 + -17x + 17x Combine like terms: 24x + 17x = 41x -96 + 41x = 41 + -17x + 17x Combine like terms: -17x + 17x = 0 -96 + 41x = 41 + 0 -96 + 41x = 41 Add '96' to each side of the equation. -96 + 96 + 41x = 41 + 96 Combine like terms: -96 + 96 = 0 0 + 41x = 41 + 96 41x = 41 + 96 Combine like terms: 41 + 96 = 137 41x = 137 Divide each side by '41'. x = 3.341463415 Simplifying x = 3.341463415
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