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Simplifying 4[x + -8] + 14 = 2[x + -7] Reorder the terms: 4[-8 + x] + 14 = 2[x + -7] [-8 * 4 + x * 4] + 14 = 2[x + -7] [-32 + 4x] + 14 = 2[x + -7] Reorder the terms: -32 + 14 + 4x = 2[x + -7] Combine like terms: -32 + 14 = -18 -18 + 4x = 2[x + -7] Reorder the terms: -18 + 4x = 2[-7 + x] -18 + 4x = [-7 * 2 + x * 2] -18 + 4x = [-14 + 2x] Solving -18 + 4x = -14 + 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. -18 + 4x + -2x = -14 + 2x + -2x Combine like terms: 4x + -2x = 2x -18 + 2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 2x = -14 + 0 -18 + 2x = -14 Add '18' to each side of the equation. -18 + 18 + 2x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -14 + 18 2x = -14 + 18 Combine like terms: -14 + 18 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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