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Simplifying (2x + 2.5) + -1(4x + -1.5) = 0 Reorder the terms: (2.5 + 2x) + -1(4x + -1.5) = 0 Remove parenthesis around (2.5 + 2x) 2.5 + 2x + -1(4x + -1.5) = 0 Reorder the terms: 2.5 + 2x + -1(-1.5 + 4x) = 0 2.5 + 2x + (-1.5 * -1 + 4x * -1) = 0 2.5 + 2x + (1.5 + -4x) = 0 Reorder the terms: 2.5 + 1.5 + 2x + -4x = 0 Combine like terms: 2.5 + 1.5 = 4 4 + 2x + -4x = 0 Combine like terms: 2x + -4x = -2x 4 + -2x = 0 Solving 4 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 0 + -4 -2x = 0 + -4 Combine like terms: 0 + -4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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