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Simplifying 4(x + 1) = 2(x + -3) + 2 Reorder the terms: 4(1 + x) = 2(x + -3) + 2 (1 * 4 + x * 4) = 2(x + -3) + 2 (4 + 4x) = 2(x + -3) + 2 Reorder the terms: 4 + 4x = 2(-3 + x) + 2 4 + 4x = (-3 * 2 + x * 2) + 2 4 + 4x = (-6 + 2x) + 2 Reorder the terms: 4 + 4x = -6 + 2 + 2x Combine like terms: -6 + 2 = -4 4 + 4x = -4 + 2x Solving 4 + 4x = -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. 4 + 4x + -2x = -4 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = -4 + 0 4 + 2x = -4 Add '-4' to each side of the equation. 4 + -4 + 2x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -4 + -4 2x = -4 + -4 Combine like terms: -4 + -4 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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