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Simplifying 4(x + 2) + -2(x + 3) = 5 Reorder the terms: 4(2 + x) + -2(x + 3) = 5 (2 * 4 + x * 4) + -2(x + 3) = 5 (8 + 4x) + -2(x + 3) = 5 Reorder the terms: 8 + 4x + -2(3 + x) = 5 8 + 4x + (3 * -2 + x * -2) = 5 8 + 4x + (-6 + -2x) = 5 Reorder the terms: 8 + -6 + 4x + -2x = 5 Combine like terms: 8 + -6 = 2 2 + 4x + -2x = 5 Combine like terms: 4x + -2x = 2x 2 + 2x = 5 Solving 2 + 2x = 5 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 = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 5 + -2 2x = 5 + -2 Combine like terms: 5 + -2 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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