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Simplifying x + 2(x + -2) = 4(x + -4) + 14 Reorder the terms: x + 2(-2 + x) = 4(x + -4) + 14 x + (-2 * 2 + x * 2) = 4(x + -4) + 14 x + (-4 + 2x) = 4(x + -4) + 14 Reorder the terms: -4 + x + 2x = 4(x + -4) + 14 Combine like terms: x + 2x = 3x -4 + 3x = 4(x + -4) + 14 Reorder the terms: -4 + 3x = 4(-4 + x) + 14 -4 + 3x = (-4 * 4 + x * 4) + 14 -4 + 3x = (-16 + 4x) + 14 Reorder the terms: -4 + 3x = -16 + 14 + 4x Combine like terms: -16 + 14 = -2 -4 + 3x = -2 + 4x Solving -4 + 3x = -2 + 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. -4 + 3x + -4x = -2 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = -2 + 0 -4 + -1x = -2 Add '4' to each side of the equation. -4 + 4 + -1x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -2 + 4 -1x = -2 + 4 Combine like terms: -2 + 4 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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