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Simplifying 10(2x + 4) = (8 + -9x) + 3x Reorder the terms: 10(4 + 2x) = (8 + -9x) + 3x (4 * 10 + 2x * 10) = (8 + -9x) + 3x (40 + 20x) = (8 + -9x) + 3x Remove parenthesis around (8 + -9x) 40 + 20x = 8 + -9x + 3x Combine like terms: -9x + 3x = -6x 40 + 20x = 8 + -6x Solving 40 + 20x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 40 + 20x + 6x = 8 + -6x + 6x Combine like terms: 20x + 6x = 26x 40 + 26x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 40 + 26x = 8 + 0 40 + 26x = 8 Add '-40' to each side of the equation. 40 + -40 + 26x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 26x = 8 + -40 26x = 8 + -40 Combine like terms: 8 + -40 = -32 26x = -32 Divide each side by '26'. x = -1.230769231 Simplifying x = -1.230769231
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