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