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Simplifying 5(2x + 6) + 2 = 3x + -7 + 4x Reorder the terms: 5(6 + 2x) + 2 = 3x + -7 + 4x (6 * 5 + 2x * 5) + 2 = 3x + -7 + 4x (30 + 10x) + 2 = 3x + -7 + 4x Reorder the terms: 30 + 2 + 10x = 3x + -7 + 4x Combine like terms: 30 + 2 = 32 32 + 10x = 3x + -7 + 4x Reorder the terms: 32 + 10x = -7 + 3x + 4x Combine like terms: 3x + 4x = 7x 32 + 10x = -7 + 7x Solving 32 + 10x = -7 + 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 + 10x + -7x = -7 + 7x + -7x Combine like terms: 10x + -7x = 3x 32 + 3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + 3x = -7 + 0 32 + 3x = -7 Add '-32' to each side of the equation. 32 + -32 + 3x = -7 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = -7 + -32 3x = -7 + -32 Combine like terms: -7 + -32 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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