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Simplifying 2x + 14 = 4(3x + 2) + -4 Reorder the terms: 14 + 2x = 4(3x + 2) + -4 Reorder the terms: 14 + 2x = 4(2 + 3x) + -4 14 + 2x = (2 * 4 + 3x * 4) + -4 14 + 2x = (8 + 12x) + -4 Reorder the terms: 14 + 2x = 8 + -4 + 12x Combine like terms: 8 + -4 = 4 14 + 2x = 4 + 12x Solving 14 + 2x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + 2x + -12x = 4 + 12x + -12x Combine like terms: 2x + -12x = -10x 14 + -10x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -10x = 4 + 0 14 + -10x = 4 Add '-14' to each side of the equation. 14 + -14 + -10x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 4 + -14 -10x = 4 + -14 Combine like terms: 4 + -14 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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