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Simplifying 5(1 + -2x) + (3 + -1x) = 3(x + 4) + 14 (1 * 5 + -2x * 5) + (3 + -1x) = 3(x + 4) + 14 (5 + -10x) + (3 + -1x) = 3(x + 4) + 14 Remove parenthesis around (3 + -1x) 5 + -10x + 3 + -1x = 3(x + 4) + 14 Reorder the terms: 5 + 3 + -10x + -1x = 3(x + 4) + 14 Combine like terms: 5 + 3 = 8 8 + -10x + -1x = 3(x + 4) + 14 Combine like terms: -10x + -1x = -11x 8 + -11x = 3(x + 4) + 14 Reorder the terms: 8 + -11x = 3(4 + x) + 14 8 + -11x = (4 * 3 + x * 3) + 14 8 + -11x = (12 + 3x) + 14 Reorder the terms: 8 + -11x = 12 + 14 + 3x Combine like terms: 12 + 14 = 26 8 + -11x = 26 + 3x Solving 8 + -11x = 26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -11x + -3x = 26 + 3x + -3x Combine like terms: -11x + -3x = -14x 8 + -14x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -14x = 26 + 0 8 + -14x = 26 Add '-8' to each side of the equation. 8 + -8 + -14x = 26 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 26 + -8 -14x = 26 + -8 Combine like terms: 26 + -8 = 18 -14x = 18 Divide each side by '-14'. x = -1.285714286 Simplifying x = -1.285714286
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