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Simplifying 2(x + 2.5) = 4(x + -0.5) Reorder the terms: 2(2.5 + x) = 4(x + -0.5) (2.5 * 2 + x * 2) = 4(x + -0.5) (5 + 2x) = 4(x + -0.5) Reorder the terms: 5 + 2x = 4(-0.5 + x) 5 + 2x = (-0.5 * 4 + x * 4) 5 + 2x = (-2 + 4x) Solving 5 + 2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x 5 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -2x = -2 + 0 5 + -2x = -2 Add '-5' to each side of the equation. 5 + -5 + -2x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -2 + -5 -2x = -2 + -5 Combine like terms: -2 + -5 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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