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Simplifying 8(3 + -5x) + -14 = 21 + -1(13 + -1x) (3 * 8 + -5x * 8) + -14 = 21 + -1(13 + -1x) (24 + -40x) + -14 = 21 + -1(13 + -1x) Reorder the terms: 24 + -14 + -40x = 21 + -1(13 + -1x) Combine like terms: 24 + -14 = 10 10 + -40x = 21 + -1(13 + -1x) 10 + -40x = 21 + (13 * -1 + -1x * -1) 10 + -40x = 21 + (-13 + 1x) Combine like terms: 21 + -13 = 8 10 + -40x = 8 + 1x Solving 10 + -40x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -40x + -1x = 8 + 1x + -1x Combine like terms: -40x + -1x = -41x 10 + -41x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -41x = 8 + 0 10 + -41x = 8 Add '-10' to each side of the equation. 10 + -10 + -41x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -41x = 8 + -10 -41x = 8 + -10 Combine like terms: 8 + -10 = -2 -41x = -2 Divide each side by '-41'. x = 0.0487804878 Simplifying x = 0.0487804878
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