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Simplifying 4 + -2(x + 1) = 7 + -1(-3) Reorder the terms: 4 + -2(1 + x) = 7 + -1(-3) 4 + (1 * -2 + x * -2) = 7 + -1(-3) 4 + (-2 + -2x) = 7 + -1(-3) Combine like terms: 4 + -2 = 2 2 + -2x = 7 + -1(-3) Multiply -1 * -3 2 + -2x = 7 + 3 Combine like terms: 7 + 3 = 10 2 + -2x = 10 Solving 2 + -2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 10 + -2 -2x = 10 + -2 Combine like terms: 10 + -2 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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