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Simplifying 5(x + 1) + -4 = -2(x + 2) Reorder the terms: 5(1 + x) + -4 = -2(x + 2) (1 * 5 + x * 5) + -4 = -2(x + 2) (5 + 5x) + -4 = -2(x + 2) Reorder the terms: 5 + -4 + 5x = -2(x + 2) Combine like terms: 5 + -4 = 1 1 + 5x = -2(x + 2) Reorder the terms: 1 + 5x = -2(2 + x) 1 + 5x = (2 * -2 + x * -2) 1 + 5x = (-4 + -2x) Solving 1 + 5x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 5x + 2x = -4 + -2x + 2x Combine like terms: 5x + 2x = 7x 1 + 7x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 7x = -4 + 0 1 + 7x = -4 Add '-1' to each side of the equation. 1 + -1 + 7x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = -4 + -1 7x = -4 + -1 Combine like terms: -4 + -1 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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