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Simplifying 3(5x + -9) = -16(7 + -1x) Reorder the terms: 3(-9 + 5x) = -16(7 + -1x) (-9 * 3 + 5x * 3) = -16(7 + -1x) (-27 + 15x) = -16(7 + -1x) -27 + 15x = (7 * -16 + -1x * -16) -27 + 15x = (-112 + 16x) Solving -27 + 15x = -112 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -27 + 15x + -16x = -112 + 16x + -16x Combine like terms: 15x + -16x = -1x -27 + -1x = -112 + 16x + -16x Combine like terms: 16x + -16x = 0 -27 + -1x = -112 + 0 -27 + -1x = -112 Add '27' to each side of the equation. -27 + 27 + -1x = -112 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = -112 + 27 -1x = -112 + 27 Combine like terms: -112 + 27 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85
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