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Simplifying 5(2x + 6) = -4(-5 + -2 + -2x) + 3x Reorder the terms: 5(6 + 2x) = -4(-5 + -2 + -2x) + 3x (6 * 5 + 2x * 5) = -4(-5 + -2 + -2x) + 3x (30 + 10x) = -4(-5 + -2 + -2x) + 3x Combine like terms: -5 + -2 = -7 30 + 10x = -4(-7 + -2x) + 3x 30 + 10x = (-7 * -4 + -2x * -4) + 3x 30 + 10x = (28 + 8x) + 3x Combine like terms: 8x + 3x = 11x 30 + 10x = 28 + 11x Solving 30 + 10x = 28 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 30 + 10x + -11x = 28 + 11x + -11x Combine like terms: 10x + -11x = -1x 30 + -1x = 28 + 11x + -11x Combine like terms: 11x + -11x = 0 30 + -1x = 28 + 0 30 + -1x = 28 Add '-30' to each side of the equation. 30 + -30 + -1x = 28 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 28 + -30 -1x = 28 + -30 Combine like terms: 28 + -30 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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