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Simplifying 11(3 + x) = 10(4 + x) + -14 (3 * 11 + x * 11) = 10(4 + x) + -14 (33 + 11x) = 10(4 + x) + -14 33 + 11x = (4 * 10 + x * 10) + -14 33 + 11x = (40 + 10x) + -14 Reorder the terms: 33 + 11x = 40 + -14 + 10x Combine like terms: 40 + -14 = 26 33 + 11x = 26 + 10x Solving 33 + 11x = 26 + 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. 33 + 11x + -10x = 26 + 10x + -10x Combine like terms: 11x + -10x = 1x 33 + 1x = 26 + 10x + -10x Combine like terms: 10x + -10x = 0 33 + 1x = 26 + 0 33 + 1x = 26 Add '-33' to each side of the equation. 33 + -33 + 1x = 26 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 26 + -33 1x = 26 + -33 Combine like terms: 26 + -33 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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