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Simplifying 0.5(6x + -2) + -2x = 5(x + 2) + -3 Reorder the terms: 0.5(-2 + 6x) + -2x = 5(x + 2) + -3 (-2 * 0.5 + 6x * 0.5) + -2x = 5(x + 2) + -3 (-1 + 3x) + -2x = 5(x + 2) + -3 Combine like terms: 3x + -2x = 1x -1 + 1x = 5(x + 2) + -3 Reorder the terms: -1 + 1x = 5(2 + x) + -3 -1 + 1x = (2 * 5 + x * 5) + -3 -1 + 1x = (10 + 5x) + -3 Reorder the terms: -1 + 1x = 10 + -3 + 5x Combine like terms: 10 + -3 = 7 -1 + 1x = 7 + 5x Solving -1 + 1x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 1x + -5x = 7 + 5x + -5x Combine like terms: 1x + -5x = -4x -1 + -4x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -4x = 7 + 0 -1 + -4x = 7 Add '1' to each side of the equation. -1 + 1 + -4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 7 + 1 -4x = 7 + 1 Combine like terms: 7 + 1 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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