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