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Simplifying 4 + -1(-0.5x + 3x) = 2(x + 1) Combine like terms: -0.5x + 3x = 2.5x 4 + -1(2.5x) = 2(x + 1) Remove parenthesis around (2.5x) 4 + -1 * 2.5x = 2(x + 1) Multiply -1 * 2.5 4 + -2.5x = 2(x + 1) Reorder the terms: 4 + -2.5x = 2(1 + x) 4 + -2.5x = (1 * 2 + x * 2) 4 + -2.5x = (2 + 2x) Solving 4 + -2.5x = 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. 4 + -2.5x + -2x = 2 + 2x + -2x Combine like terms: -2.5x + -2x = -4.5x 4 + -4.5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -4.5x = 2 + 0 4 + -4.5x = 2 Add '-4' to each side of the equation. 4 + -4 + -4.5x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -4.5x = 2 + -4 -4.5x = 2 + -4 Combine like terms: 2 + -4 = -2 -4.5x = -2 Divide each side by '-4.5'. x = 0.4444444444 Simplifying x = 0.4444444444
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