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Simplifying 6(x + 5) + -2 = 2(x + 7) + 30 Reorder the terms: 6(5 + x) + -2 = 2(x + 7) + 30 (5 * 6 + x * 6) + -2 = 2(x + 7) + 30 (30 + 6x) + -2 = 2(x + 7) + 30 Reorder the terms: 30 + -2 + 6x = 2(x + 7) + 30 Combine like terms: 30 + -2 = 28 28 + 6x = 2(x + 7) + 30 Reorder the terms: 28 + 6x = 2(7 + x) + 30 28 + 6x = (7 * 2 + x * 2) + 30 28 + 6x = (14 + 2x) + 30 Reorder the terms: 28 + 6x = 14 + 30 + 2x Combine like terms: 14 + 30 = 44 28 + 6x = 44 + 2x Solving 28 + 6x = 44 + 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. 28 + 6x + -2x = 44 + 2x + -2x Combine like terms: 6x + -2x = 4x 28 + 4x = 44 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 4x = 44 + 0 28 + 4x = 44 Add '-28' to each side of the equation. 28 + -28 + 4x = 44 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 44 + -28 4x = 44 + -28 Combine like terms: 44 + -28 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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