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Simplifying -2(x + 0.5) = 3(-3x + 2) Reorder the terms: -2(0.5 + x) = 3(-3x + 2) (0.5 * -2 + x * -2) = 3(-3x + 2) (-1 + -2x) = 3(-3x + 2) Reorder the terms: -1 + -2x = 3(2 + -3x) -1 + -2x = (2 * 3 + -3x * 3) -1 + -2x = (6 + -9x) Solving -1 + -2x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -1 + -2x + 9x = 6 + -9x + 9x Combine like terms: -2x + 9x = 7x -1 + 7x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -1 + 7x = 6 + 0 -1 + 7x = 6 Add '1' to each side of the equation. -1 + 1 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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