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Simplifying 4(5x + -5) = 10 + -3(x + 1) Reorder the terms: 4(-5 + 5x) = 10 + -3(x + 1) (-5 * 4 + 5x * 4) = 10 + -3(x + 1) (-20 + 20x) = 10 + -3(x + 1) Reorder the terms: -20 + 20x = 10 + -3(1 + x) -20 + 20x = 10 + (1 * -3 + x * -3) -20 + 20x = 10 + (-3 + -3x) Combine like terms: 10 + -3 = 7 -20 + 20x = 7 + -3x Solving -20 + 20x = 7 + -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. -20 + 20x + 3x = 7 + -3x + 3x Combine like terms: 20x + 3x = 23x -20 + 23x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 23x = 7 + 0 -20 + 23x = 7 Add '20' to each side of the equation. -20 + 20 + 23x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 23x = 7 + 20 23x = 7 + 20 Combine like terms: 7 + 20 = 27 23x = 27 Divide each side by '23'. x = 1.173913043 Simplifying x = 1.173913043
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