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Simplifying -15(2x + -1) + 3 = -7(5x + -4) Reorder the terms: -15(-1 + 2x) + 3 = -7(5x + -4) (-1 * -15 + 2x * -15) + 3 = -7(5x + -4) (15 + -30x) + 3 = -7(5x + -4) Reorder the terms: 15 + 3 + -30x = -7(5x + -4) Combine like terms: 15 + 3 = 18 18 + -30x = -7(5x + -4) Reorder the terms: 18 + -30x = -7(-4 + 5x) 18 + -30x = (-4 * -7 + 5x * -7) 18 + -30x = (28 + -35x) Solving 18 + -30x = 28 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 18 + -30x + 35x = 28 + -35x + 35x Combine like terms: -30x + 35x = 5x 18 + 5x = 28 + -35x + 35x Combine like terms: -35x + 35x = 0 18 + 5x = 28 + 0 18 + 5x = 28 Add '-18' to each side of the equation. 18 + -18 + 5x = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 28 + -18 5x = 28 + -18 Combine like terms: 28 + -18 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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