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Simplifying 3(x + -1) + 4 = 2 + -1(x + 3) Reorder the terms: 3(-1 + x) + 4 = 2 + -1(x + 3) (-1 * 3 + x * 3) + 4 = 2 + -1(x + 3) (-3 + 3x) + 4 = 2 + -1(x + 3) Reorder the terms: -3 + 4 + 3x = 2 + -1(x + 3) Combine like terms: -3 + 4 = 1 1 + 3x = 2 + -1(x + 3) Reorder the terms: 1 + 3x = 2 + -1(3 + x) 1 + 3x = 2 + (3 * -1 + x * -1) 1 + 3x = 2 + (-3 + -1x) Combine like terms: 2 + -3 = -1 1 + 3x = -1 + -1x Solving 1 + 3x = -1 + -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. 1 + 3x + x = -1 + -1x + x Combine like terms: 3x + x = 4x 1 + 4x = -1 + -1x + x Combine like terms: -1x + x = 0 1 + 4x = -1 + 0 1 + 4x = -1 Add '-1' to each side of the equation. 1 + -1 + 4x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -1 + -1 4x = -1 + -1 Combine like terms: -1 + -1 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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