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Simplifying 3(3 + -4x) + -5(2x + 12) = 8(5 + -3x) (3 * 3 + -4x * 3) + -5(2x + 12) = 8(5 + -3x) (9 + -12x) + -5(2x + 12) = 8(5 + -3x) Reorder the terms: 9 + -12x + -5(12 + 2x) = 8(5 + -3x) 9 + -12x + (12 * -5 + 2x * -5) = 8(5 + -3x) 9 + -12x + (-60 + -10x) = 8(5 + -3x) Reorder the terms: 9 + -60 + -12x + -10x = 8(5 + -3x) Combine like terms: 9 + -60 = -51 -51 + -12x + -10x = 8(5 + -3x) Combine like terms: -12x + -10x = -22x -51 + -22x = 8(5 + -3x) -51 + -22x = (5 * 8 + -3x * 8) -51 + -22x = (40 + -24x) Solving -51 + -22x = 40 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -51 + -22x + 24x = 40 + -24x + 24x Combine like terms: -22x + 24x = 2x -51 + 2x = 40 + -24x + 24x Combine like terms: -24x + 24x = 0 -51 + 2x = 40 + 0 -51 + 2x = 40 Add '51' to each side of the equation. -51 + 51 + 2x = 40 + 51 Combine like terms: -51 + 51 = 0 0 + 2x = 40 + 51 2x = 40 + 51 Combine like terms: 40 + 51 = 91 2x = 91 Divide each side by '2'. x = 45.5 Simplifying x = 45.5
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