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Simplifying 5(3 + x) + -1(8x + 9) = -4x (3 * 5 + x * 5) + -1(8x + 9) = -4x (15 + 5x) + -1(8x + 9) = -4x Reorder the terms: 15 + 5x + -1(9 + 8x) = -4x 15 + 5x + (9 * -1 + 8x * -1) = -4x 15 + 5x + (-9 + -8x) = -4x Reorder the terms: 15 + -9 + 5x + -8x = -4x Combine like terms: 15 + -9 = 6 6 + 5x + -8x = -4x Combine like terms: 5x + -8x = -3x 6 + -3x = -4x Solving 6 + -3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -3x + 4x = -4x + 4x Combine like terms: -3x + 4x = 1x 6 + 1x = -4x + 4x Combine like terms: -4x + 4x = 0 6 + 1x = 0 Add '-6' to each side of the equation. 6 + -6 + 1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 0 + -6 1x = 0 + -6 Combine like terms: 0 + -6 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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