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Simplifying 3(x + 4) + -1x = 4x + -3(x + -2) Reorder the terms: 3(4 + x) + -1x = 4x + -3(x + -2) (4 * 3 + x * 3) + -1x = 4x + -3(x + -2) (12 + 3x) + -1x = 4x + -3(x + -2) Combine like terms: 3x + -1x = 2x 12 + 2x = 4x + -3(x + -2) Reorder the terms: 12 + 2x = 4x + -3(-2 + x) 12 + 2x = 4x + (-2 * -3 + x * -3) 12 + 2x = 4x + (6 + -3x) Reorder the terms: 12 + 2x = 6 + 4x + -3x Combine like terms: 4x + -3x = 1x 12 + 2x = 6 + 1x Solving 12 + 2x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 2x + -1x = 6 + 1x + -1x Combine like terms: 2x + -1x = 1x 12 + 1x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 1x = 6 + 0 12 + 1x = 6 Add '-12' to each side of the equation. 12 + -12 + 1x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 6 + -12 1x = 6 + -12 Combine like terms: 6 + -12 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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