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Simplifying 6(x + 2) + 4x + -5 = 8(x + 4) + -7 Reorder the terms: 6(2 + x) + 4x + -5 = 8(x + 4) + -7 (2 * 6 + x * 6) + 4x + -5 = 8(x + 4) + -7 (12 + 6x) + 4x + -5 = 8(x + 4) + -7 Reorder the terms: 12 + -5 + 6x + 4x = 8(x + 4) + -7 Combine like terms: 12 + -5 = 7 7 + 6x + 4x = 8(x + 4) + -7 Combine like terms: 6x + 4x = 10x 7 + 10x = 8(x + 4) + -7 Reorder the terms: 7 + 10x = 8(4 + x) + -7 7 + 10x = (4 * 8 + x * 8) + -7 7 + 10x = (32 + 8x) + -7 Reorder the terms: 7 + 10x = 32 + -7 + 8x Combine like terms: 32 + -7 = 25 7 + 10x = 25 + 8x Solving 7 + 10x = 25 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 10x + -8x = 25 + 8x + -8x Combine like terms: 10x + -8x = 2x 7 + 2x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 2x = 25 + 0 7 + 2x = 25 Add '-7' to each side of the equation. 7 + -7 + 2x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 25 + -7 2x = 25 + -7 Combine like terms: 25 + -7 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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