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Simplifying 5(2x + 6) = -5(-4 + -2x) + 3x Reorder the terms: 5(6 + 2x) = -5(-4 + -2x) + 3x (6 * 5 + 2x * 5) = -5(-4 + -2x) + 3x (30 + 10x) = -5(-4 + -2x) + 3x 30 + 10x = (-4 * -5 + -2x * -5) + 3x 30 + 10x = (20 + 10x) + 3x Combine like terms: 10x + 3x = 13x 30 + 10x = 20 + 13x Solving 30 + 10x = 20 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 30 + 10x + -13x = 20 + 13x + -13x Combine like terms: 10x + -13x = -3x 30 + -3x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + -3x = 20 + 0 30 + -3x = 20 Add '-30' to each side of the equation. 30 + -30 + -3x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 20 + -30 -3x = 20 + -30 Combine like terms: 20 + -30 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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