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Simplifying 5(x + 2) + -3(1 + -1x) = 6(4 + x) + -7 Reorder the terms: 5(2 + x) + -3(1 + -1x) = 6(4 + x) + -7 (2 * 5 + x * 5) + -3(1 + -1x) = 6(4 + x) + -7 (10 + 5x) + -3(1 + -1x) = 6(4 + x) + -7 10 + 5x + (1 * -3 + -1x * -3) = 6(4 + x) + -7 10 + 5x + (-3 + 3x) = 6(4 + x) + -7 Reorder the terms: 10 + -3 + 5x + 3x = 6(4 + x) + -7 Combine like terms: 10 + -3 = 7 7 + 5x + 3x = 6(4 + x) + -7 Combine like terms: 5x + 3x = 8x 7 + 8x = 6(4 + x) + -7 7 + 8x = (4 * 6 + x * 6) + -7 7 + 8x = (24 + 6x) + -7 Reorder the terms: 7 + 8x = 24 + -7 + 6x Combine like terms: 24 + -7 = 17 7 + 8x = 17 + 6x Solving 7 + 8x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 8x + -6x = 17 + 6x + -6x Combine like terms: 8x + -6x = 2x 7 + 2x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 2x = 17 + 0 7 + 2x = 17 Add '-7' to each side of the equation. 7 + -7 + 2x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 17 + -7 2x = 17 + -7 Combine like terms: 17 + -7 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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