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