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Simplifying 5(-2x + 6) = 3(4x + -10) Reorder the terms: 5(6 + -2x) = 3(4x + -10) (6 * 5 + -2x * 5) = 3(4x + -10) (30 + -10x) = 3(4x + -10) Reorder the terms: 30 + -10x = 3(-10 + 4x) 30 + -10x = (-10 * 3 + 4x * 3) 30 + -10x = (-30 + 12x) Solving 30 + -10x = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + -10x + -12x = -30 + 12x + -12x Combine like terms: -10x + -12x = -22x 30 + -22x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -22x = -30 + 0 30 + -22x = -30 Add '-30' to each side of the equation. 30 + -30 + -22x = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -22x = -30 + -30 -22x = -30 + -30 Combine like terms: -30 + -30 = -60 -22x = -60 Divide each side by '-22'. x = 2.727272727 Simplifying x = 2.727272727
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