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Simplifying 4(-5x + 7) = 3(-10x + 6) Reorder the terms: 4(7 + -5x) = 3(-10x + 6) (7 * 4 + -5x * 4) = 3(-10x + 6) (28 + -20x) = 3(-10x + 6) Reorder the terms: 28 + -20x = 3(6 + -10x) 28 + -20x = (6 * 3 + -10x * 3) 28 + -20x = (18 + -30x) Solving 28 + -20x = 18 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 28 + -20x + 30x = 18 + -30x + 30x Combine like terms: -20x + 30x = 10x 28 + 10x = 18 + -30x + 30x Combine like terms: -30x + 30x = 0 28 + 10x = 18 + 0 28 + 10x = 18 Add '-28' to each side of the equation. 28 + -28 + 10x = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = 18 + -28 10x = 18 + -28 Combine like terms: 18 + -28 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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