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Simplifying 4(x + 5) + -20 = -2(x + -6) + 30 Reorder the terms: 4(5 + x) + -20 = -2(x + -6) + 30 (5 * 4 + x * 4) + -20 = -2(x + -6) + 30 (20 + 4x) + -20 = -2(x + -6) + 30 Reorder the terms: 20 + -20 + 4x = -2(x + -6) + 30 Combine like terms: 20 + -20 = 0 0 + 4x = -2(x + -6) + 30 4x = -2(x + -6) + 30 Reorder the terms: 4x = -2(-6 + x) + 30 4x = (-6 * -2 + x * -2) + 30 4x = (12 + -2x) + 30 Reorder the terms: 4x = 12 + 30 + -2x Combine like terms: 12 + 30 = 42 4x = 42 + -2x Solving 4x = 42 + -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. 4x + 2x = 42 + -2x + 2x Combine like terms: 4x + 2x = 6x 6x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 6x = 42 + 0 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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