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Simplifying 4 + -7(x + 2) = -5(x + 1) Reorder the terms: 4 + -7(2 + x) = -5(x + 1) 4 + (2 * -7 + x * -7) = -5(x + 1) 4 + (-14 + -7x) = -5(x + 1) Combine like terms: 4 + -14 = -10 -10 + -7x = -5(x + 1) Reorder the terms: -10 + -7x = -5(1 + x) -10 + -7x = (1 * -5 + x * -5) -10 + -7x = (-5 + -5x) Solving -10 + -7x = -5 + -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. -10 + -7x + 5x = -5 + -5x + 5x Combine like terms: -7x + 5x = -2x -10 + -2x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + -2x = -5 + 0 -10 + -2x = -5 Add '10' to each side of the equation. -10 + 10 + -2x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -5 + 10 -2x = -5 + 10 Combine like terms: -5 + 10 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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