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Simplifying 0.5x + -1(18 + x) = 3(x + 1) 0.5x + (18 * -1 + x * -1) = 3(x + 1) 0.5x + (-18 + -1x) = 3(x + 1) Reorder the terms: -18 + 0.5x + -1x = 3(x + 1) Combine like terms: 0.5x + -1x = -0.5x -18 + -0.5x = 3(x + 1) Reorder the terms: -18 + -0.5x = 3(1 + x) -18 + -0.5x = (1 * 3 + x * 3) -18 + -0.5x = (3 + 3x) Solving -18 + -0.5x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + -0.5x + -3x = 3 + 3x + -3x Combine like terms: -0.5x + -3x = -3.5x -18 + -3.5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -3.5x = 3 + 0 -18 + -3.5x = 3 Add '18' to each side of the equation. -18 + 18 + -3.5x = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -3.5x = 3 + 18 -3.5x = 3 + 18 Combine like terms: 3 + 18 = 21 -3.5x = 21 Divide each side by '-3.5'. x = -6 Simplifying x = -6
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