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Simplifying 5(2x + 6) = -3(4x + -1) Reorder the terms: 5(6 + 2x) = -3(4x + -1) (6 * 5 + 2x * 5) = -3(4x + -1) (30 + 10x) = -3(4x + -1) Reorder the terms: 30 + 10x = -3(-1 + 4x) 30 + 10x = (-1 * -3 + 4x * -3) 30 + 10x = (3 + -12x) Solving 30 + 10x = 3 + -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 = 3 + -12x + 12x Combine like terms: 10x + 12x = 22x 30 + 22x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 30 + 22x = 3 + 0 30 + 22x = 3 Add '-30' to each side of the equation. 30 + -30 + 22x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 22x = 3 + -30 22x = 3 + -30 Combine like terms: 3 + -30 = -27 22x = -27 Divide each side by '22'. x = -1.227272727 Simplifying x = -1.227272727
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