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Simplifying 10(x + -8) = 15(2x + -2) Reorder the terms: 10(-8 + x) = 15(2x + -2) (-8 * 10 + x * 10) = 15(2x + -2) (-80 + 10x) = 15(2x + -2) Reorder the terms: -80 + 10x = 15(-2 + 2x) -80 + 10x = (-2 * 15 + 2x * 15) -80 + 10x = (-30 + 30x) Solving -80 + 10x = -30 + 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. -80 + 10x + -30x = -30 + 30x + -30x Combine like terms: 10x + -30x = -20x -80 + -20x = -30 + 30x + -30x Combine like terms: 30x + -30x = 0 -80 + -20x = -30 + 0 -80 + -20x = -30 Add '80' to each side of the equation. -80 + 80 + -20x = -30 + 80 Combine like terms: -80 + 80 = 0 0 + -20x = -30 + 80 -20x = -30 + 80 Combine like terms: -30 + 80 = 50 -20x = 50 Divide each side by '-20'. x = -2.5 Simplifying x = -2.5
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