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Simplifying 3(x + 4) = 2 + -1(x + -1) Reorder the terms: 3(4 + x) = 2 + -1(x + -1) (4 * 3 + x * 3) = 2 + -1(x + -1) (12 + 3x) = 2 + -1(x + -1) Reorder the terms: 12 + 3x = 2 + -1(-1 + x) 12 + 3x = 2 + (-1 * -1 + x * -1) 12 + 3x = 2 + (1 + -1x) Combine like terms: 2 + 1 = 3 12 + 3x = 3 + -1x Solving 12 + 3x = 3 + -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. 12 + 3x + x = 3 + -1x + x Combine like terms: 3x + x = 4x 12 + 4x = 3 + -1x + x Combine like terms: -1x + x = 0 12 + 4x = 3 + 0 12 + 4x = 3 Add '-12' to each side of the equation. 12 + -12 + 4x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 3 + -12 4x = 3 + -12 Combine like terms: 3 + -12 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25
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