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Simplifying 7 + 4(5x + -5) = 7 + -3(2x + 1) Reorder the terms: 7 + 4(-5 + 5x) = 7 + -3(2x + 1) 7 + (-5 * 4 + 5x * 4) = 7 + -3(2x + 1) 7 + (-20 + 20x) = 7 + -3(2x + 1) Combine like terms: 7 + -20 = -13 -13 + 20x = 7 + -3(2x + 1) Reorder the terms: -13 + 20x = 7 + -3(1 + 2x) -13 + 20x = 7 + (1 * -3 + 2x * -3) -13 + 20x = 7 + (-3 + -6x) Combine like terms: 7 + -3 = 4 -13 + 20x = 4 + -6x Solving -13 + 20x = 4 + -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. -13 + 20x + 6x = 4 + -6x + 6x Combine like terms: 20x + 6x = 26x -13 + 26x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 26x = 4 + 0 -13 + 26x = 4 Add '13' to each side of the equation. -13 + 13 + 26x = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 26x = 4 + 13 26x = 4 + 13 Combine like terms: 4 + 13 = 17 26x = 17 Divide each side by '26'. x = 0.6538461538 Simplifying x = 0.6538461538
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