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