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Simplifying 7(x + 4) = 10(x + 14) Reorder the terms: 7(4 + x) = 10(x + 14) (4 * 7 + x * 7) = 10(x + 14) (28 + 7x) = 10(x + 14) Reorder the terms: 28 + 7x = 10(14 + x) 28 + 7x = (14 * 10 + x * 10) 28 + 7x = (140 + 10x) Solving 28 + 7x = 140 + 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 + 7x + -10x = 140 + 10x + -10x Combine like terms: 7x + -10x = -3x 28 + -3x = 140 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + -3x = 140 + 0 28 + -3x = 140 Add '-28' to each side of the equation. 28 + -28 + -3x = 140 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 140 + -28 -3x = 140 + -28 Combine like terms: 140 + -28 = 112 -3x = 112 Divide each side by '-3'. x = -37.33333333 Simplifying x = -37.33333333
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