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Simplifying 7 + -3(x + 1) = x + -3(x + -1) Reorder the terms: 7 + -3(1 + x) = x + -3(x + -1) 7 + (1 * -3 + x * -3) = x + -3(x + -1) 7 + (-3 + -3x) = x + -3(x + -1) Combine like terms: 7 + -3 = 4 4 + -3x = x + -3(x + -1) Reorder the terms: 4 + -3x = x + -3(-1 + x) 4 + -3x = x + (-1 * -3 + x * -3) 4 + -3x = x + (3 + -3x) Reorder the terms: 4 + -3x = 3 + x + -3x Combine like terms: x + -3x = -2x 4 + -3x = 3 + -2x Solving 4 + -3x = 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. 4 + -3x + 2x = 3 + -2x + 2x Combine like terms: -3x + 2x = -1x 4 + -1x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -1x = 3 + 0 4 + -1x = 3 Add '-4' to each side of the equation. 4 + -4 + -1x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 3 + -4 -1x = 3 + -4 Combine like terms: 3 + -4 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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