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Simplifying 5(12 + -1x) + 10 = 10(2x + -3) (12 * 5 + -1x * 5) + 10 = 10(2x + -3) (60 + -5x) + 10 = 10(2x + -3) Reorder the terms: 60 + 10 + -5x = 10(2x + -3) Combine like terms: 60 + 10 = 70 70 + -5x = 10(2x + -3) Reorder the terms: 70 + -5x = 10(-3 + 2x) 70 + -5x = (-3 * 10 + 2x * 10) 70 + -5x = (-30 + 20x) Solving 70 + -5x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 70 + -5x + -20x = -30 + 20x + -20x Combine like terms: -5x + -20x = -25x 70 + -25x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 70 + -25x = -30 + 0 70 + -25x = -30 Add '-70' to each side of the equation. 70 + -70 + -25x = -30 + -70 Combine like terms: 70 + -70 = 0 0 + -25x = -30 + -70 -25x = -30 + -70 Combine like terms: -30 + -70 = -100 -25x = -100 Divide each side by '-25'. x = 4 Simplifying x = 4
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