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Simplifying 2.5 + 2(x + -4) = 2 + -2x Reorder the terms: 2.5 + 2(-4 + x) = 2 + -2x 2.5 + (-4 * 2 + x * 2) = 2 + -2x 2.5 + (-8 + 2x) = 2 + -2x Combine like terms: 2.5 + -8 = -5.5 -5.5 + 2x = 2 + -2x Solving -5.5 + 2x = 2 + -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. -5.5 + 2x + 2x = 2 + -2x + 2x Combine like terms: 2x + 2x = 4x -5.5 + 4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -5.5 + 4x = 2 + 0 -5.5 + 4x = 2 Add '5.5' to each side of the equation. -5.5 + 5.5 + 4x = 2 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 4x = 2 + 5.5 4x = 2 + 5.5 Combine like terms: 2 + 5.5 = 7.5 4x = 7.5 Divide each side by '4'. x = 1.875 Simplifying x = 1.875
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