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Simplifying 14(10 + -6x) + 8 = 4(10 + 6x) (10 * 14 + -6x * 14) + 8 = 4(10 + 6x) (140 + -84x) + 8 = 4(10 + 6x) Reorder the terms: 140 + 8 + -84x = 4(10 + 6x) Combine like terms: 140 + 8 = 148 148 + -84x = 4(10 + 6x) 148 + -84x = (10 * 4 + 6x * 4) 148 + -84x = (40 + 24x) Solving 148 + -84x = 40 + 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. 148 + -84x + -24x = 40 + 24x + -24x Combine like terms: -84x + -24x = -108x 148 + -108x = 40 + 24x + -24x Combine like terms: 24x + -24x = 0 148 + -108x = 40 + 0 148 + -108x = 40 Add '-148' to each side of the equation. 148 + -148 + -108x = 40 + -148 Combine like terms: 148 + -148 = 0 0 + -108x = 40 + -148 -108x = 40 + -148 Combine like terms: 40 + -148 = -108 -108x = -108 Divide each side by '-108'. x = 1 Simplifying x = 1
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