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Simplifying 2x + 14 + -2 = 4(2x + -6) Reorder the terms: 14 + -2 + 2x = 4(2x + -6) Combine like terms: 14 + -2 = 12 12 + 2x = 4(2x + -6) Reorder the terms: 12 + 2x = 4(-6 + 2x) 12 + 2x = (-6 * 4 + 2x * 4) 12 + 2x = (-24 + 8x) Solving 12 + 2x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 2x + -8x = -24 + 8x + -8x Combine like terms: 2x + -8x = -6x 12 + -6x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -6x = -24 + 0 12 + -6x = -24 Add '-12' to each side of the equation. 12 + -12 + -6x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -24 + -12 -6x = -24 + -12 Combine like terms: -24 + -12 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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