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Simplifying 2x + 2 + 3(x + 4) = -4(1 + -1x) + 3 Reorder the terms: 2x + 2 + 3(4 + x) = -4(1 + -1x) + 3 2x + 2 + (4 * 3 + x * 3) = -4(1 + -1x) + 3 2x + 2 + (12 + 3x) = -4(1 + -1x) + 3 Reorder the terms: 2 + 12 + 2x + 3x = -4(1 + -1x) + 3 Combine like terms: 2 + 12 = 14 14 + 2x + 3x = -4(1 + -1x) + 3 Combine like terms: 2x + 3x = 5x 14 + 5x = -4(1 + -1x) + 3 14 + 5x = (1 * -4 + -1x * -4) + 3 14 + 5x = (-4 + 4x) + 3 Reorder the terms: 14 + 5x = -4 + 3 + 4x Combine like terms: -4 + 3 = -1 14 + 5x = -1 + 4x Solving 14 + 5x = -1 + 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. 14 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x 14 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 1x = -1 + 0 14 + 1x = -1 Add '-14' to each side of the equation. 14 + -14 + 1x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -1 + -14 1x = -1 + -14 Combine like terms: -1 + -14 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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