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Simplifying -1(x + 4) + 8(5x + 9) = 3 + 15x Reorder the terms: -1(4 + x) + 8(5x + 9) = 3 + 15x (4 * -1 + x * -1) + 8(5x + 9) = 3 + 15x (-4 + -1x) + 8(5x + 9) = 3 + 15x Reorder the terms: -4 + -1x + 8(9 + 5x) = 3 + 15x -4 + -1x + (9 * 8 + 5x * 8) = 3 + 15x -4 + -1x + (72 + 40x) = 3 + 15x Reorder the terms: -4 + 72 + -1x + 40x = 3 + 15x Combine like terms: -4 + 72 = 68 68 + -1x + 40x = 3 + 15x Combine like terms: -1x + 40x = 39x 68 + 39x = 3 + 15x Solving 68 + 39x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 68 + 39x + -15x = 3 + 15x + -15x Combine like terms: 39x + -15x = 24x 68 + 24x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 68 + 24x = 3 + 0 68 + 24x = 3 Add '-68' to each side of the equation. 68 + -68 + 24x = 3 + -68 Combine like terms: 68 + -68 = 0 0 + 24x = 3 + -68 24x = 3 + -68 Combine like terms: 3 + -68 = -65 24x = -65 Divide each side by '24'. x = -2.708333333 Simplifying x = -2.708333333
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