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Simplifying 15(2x + -1) = 15(3x + -2) Reorder the terms: 15(-1 + 2x) = 15(3x + -2) (-1 * 15 + 2x * 15) = 15(3x + -2) (-15 + 30x) = 15(3x + -2) Reorder the terms: -15 + 30x = 15(-2 + 3x) -15 + 30x = (-2 * 15 + 3x * 15) -15 + 30x = (-30 + 45x) Solving -15 + 30x = -30 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -15 + 30x + -45x = -30 + 45x + -45x Combine like terms: 30x + -45x = -15x -15 + -15x = -30 + 45x + -45x Combine like terms: 45x + -45x = 0 -15 + -15x = -30 + 0 -15 + -15x = -30 Add '15' to each side of the equation. -15 + 15 + -15x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -15x = -30 + 15 -15x = -30 + 15 Combine like terms: -30 + 15 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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