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Simplifying (5x + -3) * 2 = (2x + -1) * 2 Reorder the terms: (-3 + 5x) * 2 = (2x + -1) * 2 Reorder the terms for easier multiplication: 2(-3 + 5x) = (2x + -1) * 2 (-3 * 2 + 5x * 2) = (2x + -1) * 2 (-6 + 10x) = (2x + -1) * 2 Reorder the terms: -6 + 10x = (-1 + 2x) * 2 Reorder the terms for easier multiplication: -6 + 10x = 2(-1 + 2x) -6 + 10x = (-1 * 2 + 2x * 2) -6 + 10x = (-2 + 4x) Solving -6 + 10x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 10x + -4x = -2 + 4x + -4x Combine like terms: 10x + -4x = 6x -6 + 6x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 6x = -2 + 0 -6 + 6x = -2 Add '6' to each side of the equation. -6 + 6 + 6x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -2 + 6 6x = -2 + 6 Combine like terms: -2 + 6 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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