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Simplifying 3 + -5(x + 2) = 0.5(2x + 8) Reorder the terms: 3 + -5(2 + x) = 0.5(2x + 8) 3 + (2 * -5 + x * -5) = 0.5(2x + 8) 3 + (-10 + -5x) = 0.5(2x + 8) Combine like terms: 3 + -10 = -7 -7 + -5x = 0.5(2x + 8) Reorder the terms: -7 + -5x = 0.5(8 + 2x) -7 + -5x = (8 * 0.5 + 2x * 0.5) -7 + -5x = (4 + 1x) Solving -7 + -5x = 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. -7 + -5x + -1x = 4 + 1x + -1x Combine like terms: -5x + -1x = -6x -7 + -6x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + -6x = 4 + 0 -7 + -6x = 4 Add '7' to each side of the equation. -7 + 7 + -6x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 4 + 7 -6x = 4 + 7 Combine like terms: 4 + 7 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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