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Simplifying 3(10x + 5) = 9(-1x + -7) Reorder the terms: 3(5 + 10x) = 9(-1x + -7) (5 * 3 + 10x * 3) = 9(-1x + -7) (15 + 30x) = 9(-1x + -7) Reorder the terms: 15 + 30x = 9(-7 + -1x) 15 + 30x = (-7 * 9 + -1x * 9) 15 + 30x = (-63 + -9x) Solving 15 + 30x = -63 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 15 + 30x + 9x = -63 + -9x + 9x Combine like terms: 30x + 9x = 39x 15 + 39x = -63 + -9x + 9x Combine like terms: -9x + 9x = 0 15 + 39x = -63 + 0 15 + 39x = -63 Add '-15' to each side of the equation. 15 + -15 + 39x = -63 + -15 Combine like terms: 15 + -15 = 0 0 + 39x = -63 + -15 39x = -63 + -15 Combine like terms: -63 + -15 = -78 39x = -78 Divide each side by '39'. x = -2 Simplifying x = -2
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