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Simplifying 7 + 5(x + -2) = 7 + -4(x + -1) Reorder the terms: 7 + 5(-2 + x) = 7 + -4(x + -1) 7 + (-2 * 5 + x * 5) = 7 + -4(x + -1) 7 + (-10 + 5x) = 7 + -4(x + -1) Combine like terms: 7 + -10 = -3 -3 + 5x = 7 + -4(x + -1) Reorder the terms: -3 + 5x = 7 + -4(-1 + x) -3 + 5x = 7 + (-1 * -4 + x * -4) -3 + 5x = 7 + (4 + -4x) Combine like terms: 7 + 4 = 11 -3 + 5x = 11 + -4x Solving -3 + 5x = 11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 5x + 4x = 11 + -4x + 4x Combine like terms: 5x + 4x = 9x -3 + 9x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 9x = 11 + 0 -3 + 9x = 11 Add '3' to each side of the equation. -3 + 3 + 9x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 11 + 3 9x = 11 + 3 Combine like terms: 11 + 3 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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