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Simplifying 5(x + 6) + 2 = 7x + -8 Reorder the terms: 5(6 + x) + 2 = 7x + -8 (6 * 5 + x * 5) + 2 = 7x + -8 (30 + 5x) + 2 = 7x + -8 Reorder the terms: 30 + 2 + 5x = 7x + -8 Combine like terms: 30 + 2 = 32 32 + 5x = 7x + -8 Reorder the terms: 32 + 5x = -8 + 7x Solving 32 + 5x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 32 + 5x + -7x = -8 + 7x + -7x Combine like terms: 5x + -7x = -2x 32 + -2x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -2x = -8 + 0 32 + -2x = -8 Add '-32' to each side of the equation. 32 + -32 + -2x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = -8 + -32 -2x = -8 + -32 Combine like terms: -8 + -32 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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