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Simplifying 2(x + 3) + -4x = 0.5(x + 2) Reorder the terms: 2(3 + x) + -4x = 0.5(x + 2) (3 * 2 + x * 2) + -4x = 0.5(x + 2) (6 + 2x) + -4x = 0.5(x + 2) Combine like terms: 2x + -4x = -2x 6 + -2x = 0.5(x + 2) Reorder the terms: 6 + -2x = 0.5(2 + x) 6 + -2x = (2 * 0.5 + x * 0.5) 6 + -2x = (1 + 0.5x) Solving 6 + -2x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + -2x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: -2x + -0.5x = -2.5x 6 + -2.5x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -2.5x = 1 + 0.0 6 + -2.5x = 1 Add '-6' to each side of the equation. 6 + -6 + -2.5x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -2.5x = 1 + -6 -2.5x = 1 + -6 Combine like terms: 1 + -6 = -5 -2.5x = -5 Divide each side by '-2.5'. x = 2 Simplifying x = 2
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