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Simplifying x + -14 = 6 + -3[x + -4] Reorder the terms: -14 + x = 6 + -3[x + -4] Reorder the terms: -14 + x = 6 + -3[-4 + x] -14 + x = 6 + [-4 * -3 + x * -3] -14 + x = 6 + [12 + -3x] Combine like terms: 6 + 12 = 18 -14 + x = 18 + -3x Solving -14 + x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + x + 3x = 18 + -3x + 3x Combine like terms: x + 3x = 4x -14 + 4x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 4x = 18 + 0 -14 + 4x = 18 Add '14' to each side of the equation. -14 + 14 + 4x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 18 + 14 4x = 18 + 14 Combine like terms: 18 + 14 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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