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Simplifying 7 + 2(5x + -5) = 9 + -4(2x + 1) Reorder the terms: 7 + 2(-5 + 5x) = 9 + -4(2x + 1) 7 + (-5 * 2 + 5x * 2) = 9 + -4(2x + 1) 7 + (-10 + 10x) = 9 + -4(2x + 1) Combine like terms: 7 + -10 = -3 -3 + 10x = 9 + -4(2x + 1) Reorder the terms: -3 + 10x = 9 + -4(1 + 2x) -3 + 10x = 9 + (1 * -4 + 2x * -4) -3 + 10x = 9 + (-4 + -8x) Combine like terms: 9 + -4 = 5 -3 + 10x = 5 + -8x Solving -3 + 10x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + 10x + 8x = 5 + -8x + 8x Combine like terms: 10x + 8x = 18x -3 + 18x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 18x = 5 + 0 -3 + 18x = 5 Add '3' to each side of the equation. -3 + 3 + 18x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = 5 + 3 18x = 5 + 3 Combine like terms: 5 + 3 = 8 18x = 8 Divide each side by '18'. x = 0.4444444444 Simplifying x = 0.4444444444
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