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Simplifying 14(x + 2) = 10(4 + -1x) Reorder the terms: 14(2 + x) = 10(4 + -1x) (2 * 14 + x * 14) = 10(4 + -1x) (28 + 14x) = 10(4 + -1x) 28 + 14x = (4 * 10 + -1x * 10) 28 + 14x = (40 + -10x) Solving 28 + 14x = 40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 28 + 14x + 10x = 40 + -10x + 10x Combine like terms: 14x + 10x = 24x 28 + 24x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 28 + 24x = 40 + 0 28 + 24x = 40 Add '-28' to each side of the equation. 28 + -28 + 24x = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 24x = 40 + -28 24x = 40 + -28 Combine like terms: 40 + -28 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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