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Simplifying 2[x + -1(2x + 18) + 14] = 2(x + 4) Reorder the terms: 2[x + -1(18 + 2x) + 14] = 2(x + 4) 2[x + (18 * -1 + 2x * -1) + 14] = 2(x + 4) 2[x + (-18 + -2x) + 14] = 2(x + 4) Reorder the terms: 2[-18 + 14 + x + -2x] = 2(x + 4) Combine like terms: -18 + 14 = -4 2[-4 + x + -2x] = 2(x + 4) Combine like terms: x + -2x = -1x 2[-4 + -1x] = 2(x + 4) [-4 * 2 + -1x * 2] = 2(x + 4) [-8 + -2x] = 2(x + 4) Reorder the terms: -8 + -2x = 2(4 + x) -8 + -2x = (4 * 2 + x * 2) -8 + -2x = (8 + 2x) Solving -8 + -2x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -2x + -2x = 8 + 2x + -2x Combine like terms: -2x + -2x = -4x -8 + -4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -4x = 8 + 0 -8 + -4x = 8 Add '8' to each side of the equation. -8 + 8 + -4x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 8 + 8 -4x = 8 + 8 Combine like terms: 8 + 8 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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