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Simplifying 4(x + 5) + 7x = -3(x + -2) Reorder the terms: 4(5 + x) + 7x = -3(x + -2) (5 * 4 + x * 4) + 7x = -3(x + -2) (20 + 4x) + 7x = -3(x + -2) Combine like terms: 4x + 7x = 11x 20 + 11x = -3(x + -2) Reorder the terms: 20 + 11x = -3(-2 + x) 20 + 11x = (-2 * -3 + x * -3) 20 + 11x = (6 + -3x) Solving 20 + 11x = 6 + -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 + 11x + 3x = 6 + -3x + 3x Combine like terms: 11x + 3x = 14x 20 + 14x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 14x = 6 + 0 20 + 14x = 6 Add '-20' to each side of the equation. 20 + -20 + 14x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 6 + -20 14x = 6 + -20 Combine like terms: 6 + -20 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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