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Simplifying 3x + -5(x + 2) = 0.5(2x + 8) Reorder the terms: 3x + -5(2 + x) = 0.5(2x + 8) 3x + (2 * -5 + x * -5) = 0.5(2x + 8) 3x + (-10 + -5x) = 0.5(2x + 8) Reorder the terms: -10 + 3x + -5x = 0.5(2x + 8) Combine like terms: 3x + -5x = -2x -10 + -2x = 0.5(2x + 8) Reorder the terms: -10 + -2x = 0.5(8 + 2x) -10 + -2x = (8 * 0.5 + 2x * 0.5) -10 + -2x = (4 + 1x) Solving -10 + -2x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -2x + -1x = 4 + 1x + -1x Combine like terms: -2x + -1x = -3x -10 + -3x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + -3x = 4 + 0 -10 + -3x = 4 Add '10' to each side of the equation. -10 + 10 + -3x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 4 + 10 -3x = 4 + 10 Combine like terms: 4 + 10 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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