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Simplifying 7 + 4(x + -1) = -5(x + -2) + 11 Reorder the terms: 7 + 4(-1 + x) = -5(x + -2) + 11 7 + (-1 * 4 + x * 4) = -5(x + -2) + 11 7 + (-4 + 4x) = -5(x + -2) + 11 Combine like terms: 7 + -4 = 3 3 + 4x = -5(x + -2) + 11 Reorder the terms: 3 + 4x = -5(-2 + x) + 11 3 + 4x = (-2 * -5 + x * -5) + 11 3 + 4x = (10 + -5x) + 11 Reorder the terms: 3 + 4x = 10 + 11 + -5x Combine like terms: 10 + 11 = 21 3 + 4x = 21 + -5x Solving 3 + 4x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 4x + 5x = 21 + -5x + 5x Combine like terms: 4x + 5x = 9x 3 + 9x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 9x = 21 + 0 3 + 9x = 21 Add '-3' to each side of the equation. 3 + -3 + 9x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 21 + -3 9x = 21 + -3 Combine like terms: 21 + -3 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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