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