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Simplifying -3(6x + -9) + 8x = 4(x + 5) Reorder the terms: -3(-9 + 6x) + 8x = 4(x + 5) (-9 * -3 + 6x * -3) + 8x = 4(x + 5) (27 + -18x) + 8x = 4(x + 5) Combine like terms: -18x + 8x = -10x 27 + -10x = 4(x + 5) Reorder the terms: 27 + -10x = 4(5 + x) 27 + -10x = (5 * 4 + x * 4) 27 + -10x = (20 + 4x) Solving 27 + -10x = 20 + 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. 27 + -10x + -4x = 20 + 4x + -4x Combine like terms: -10x + -4x = -14x 27 + -14x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -14x = 20 + 0 27 + -14x = 20 Add '-27' to each side of the equation. 27 + -27 + -14x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -14x = 20 + -27 -14x = 20 + -27 Combine like terms: 20 + -27 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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