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Simplifying 5(x + 6) + -30 = -2(x + -4) + 20 Reorder the terms: 5(6 + x) + -30 = -2(x + -4) + 20 (6 * 5 + x * 5) + -30 = -2(x + -4) + 20 (30 + 5x) + -30 = -2(x + -4) + 20 Reorder the terms: 30 + -30 + 5x = -2(x + -4) + 20 Combine like terms: 30 + -30 = 0 0 + 5x = -2(x + -4) + 20 5x = -2(x + -4) + 20 Reorder the terms: 5x = -2(-4 + x) + 20 5x = (-4 * -2 + x * -2) + 20 5x = (8 + -2x) + 20 Reorder the terms: 5x = 8 + 20 + -2x Combine like terms: 8 + 20 = 28 5x = 28 + -2x Solving 5x = 28 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5x + 2x = 28 + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = 28 + -2x + 2x Combine like terms: -2x + 2x = 0 7x = 28 + 0 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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