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Simplifying 2x + 3x + 2 = -4(3 + -1x) Reorder the terms: 2 + 2x + 3x = -4(3 + -1x) Combine like terms: 2x + 3x = 5x 2 + 5x = -4(3 + -1x) 2 + 5x = (3 * -4 + -1x * -4) 2 + 5x = (-12 + 4x) Solving 2 + 5x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 5x + -4x = -12 + 4x + -4x Combine like terms: 5x + -4x = 1x 2 + 1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 1x = -12 + 0 2 + 1x = -12 Add '-2' to each side of the equation. 2 + -2 + 1x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -12 + -2 1x = -12 + -2 Combine like terms: -12 + -2 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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