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Simplifying 14 + -2(2x + 1) = 6x + -2(6 + x) Reorder the terms: 14 + -2(1 + 2x) = 6x + -2(6 + x) 14 + (1 * -2 + 2x * -2) = 6x + -2(6 + x) 14 + (-2 + -4x) = 6x + -2(6 + x) Combine like terms: 14 + -2 = 12 12 + -4x = 6x + -2(6 + x) 12 + -4x = 6x + (6 * -2 + x * -2) 12 + -4x = 6x + (-12 + -2x) Reorder the terms: 12 + -4x = -12 + 6x + -2x Combine like terms: 6x + -2x = 4x 12 + -4x = -12 + 4x Solving 12 + -4x = -12 + 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. 12 + -4x + -4x = -12 + 4x + -4x Combine like terms: -4x + -4x = -8x 12 + -8x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -8x = -12 + 0 12 + -8x = -12 Add '-12' to each side of the equation. 12 + -12 + -8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -12 + -12 -8x = -12 + -12 Combine like terms: -12 + -12 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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