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