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Simplifying 14x + 312 = 2(12x + 34) Reorder the terms: 312 + 14x = 2(12x + 34) Reorder the terms: 312 + 14x = 2(34 + 12x) 312 + 14x = (34 * 2 + 12x * 2) 312 + 14x = (68 + 24x) Solving 312 + 14x = 68 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 312 + 14x + -24x = 68 + 24x + -24x Combine like terms: 14x + -24x = -10x 312 + -10x = 68 + 24x + -24x Combine like terms: 24x + -24x = 0 312 + -10x = 68 + 0 312 + -10x = 68 Add '-312' to each side of the equation. 312 + -312 + -10x = 68 + -312 Combine like terms: 312 + -312 = 0 0 + -10x = 68 + -312 -10x = 68 + -312 Combine like terms: 68 + -312 = -244 -10x = -244 Divide each side by '-10'. x = 24.4 Simplifying x = 24.4
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