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Simplifying 5(x + 4) + -20 = -2(x + -6) + 51 Reorder the terms: 5(4 + x) + -20 = -2(x + -6) + 51 (4 * 5 + x * 5) + -20 = -2(x + -6) + 51 (20 + 5x) + -20 = -2(x + -6) + 51 Reorder the terms: 20 + -20 + 5x = -2(x + -6) + 51 Combine like terms: 20 + -20 = 0 0 + 5x = -2(x + -6) + 51 5x = -2(x + -6) + 51 Reorder the terms: 5x = -2(-6 + x) + 51 5x = (-6 * -2 + x * -2) + 51 5x = (12 + -2x) + 51 Reorder the terms: 5x = 12 + 51 + -2x Combine like terms: 12 + 51 = 63 5x = 63 + -2x Solving 5x = 63 + -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 = 63 + -2x + 2x Combine like terms: 5x + 2x = 7x 7x = 63 + -2x + 2x Combine like terms: -2x + 2x = 0 7x = 63 + 0 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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