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Simplifying 5(x + 7) + x = 2(x + 5) + -4 Reorder the terms: 5(7 + x) + x = 2(x + 5) + -4 (7 * 5 + x * 5) + x = 2(x + 5) + -4 (35 + 5x) + x = 2(x + 5) + -4 Combine like terms: 5x + x = 6x 35 + 6x = 2(x + 5) + -4 Reorder the terms: 35 + 6x = 2(5 + x) + -4 35 + 6x = (5 * 2 + x * 2) + -4 35 + 6x = (10 + 2x) + -4 Reorder the terms: 35 + 6x = 10 + -4 + 2x Combine like terms: 10 + -4 = 6 35 + 6x = 6 + 2x Solving 35 + 6x = 6 + 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. 35 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x 35 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 4x = 6 + 0 35 + 4x = 6 Add '-35' to each side of the equation. 35 + -35 + 4x = 6 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 6 + -35 4x = 6 + -35 Combine like terms: 6 + -35 = -29 4x = -29 Divide each side by '4'. x = -7.25 Simplifying x = -7.25
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