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Simplifying (3x + -5) * 2 + -2x = x + 6 Reorder the terms: (-5 + 3x) * 2 + -2x = x + 6 Reorder the terms for easier multiplication: 2(-5 + 3x) + -2x = x + 6 (-5 * 2 + 3x * 2) + -2x = x + 6 (-10 + 6x) + -2x = x + 6 Combine like terms: 6x + -2x = 4x -10 + 4x = x + 6 Reorder the terms: -10 + 4x = 6 + x Solving -10 + 4x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 4x + -1x = 6 + x + -1x Combine like terms: 4x + -1x = 3x -10 + 3x = 6 + x + -1x Combine like terms: x + -1x = 0 -10 + 3x = 6 + 0 -10 + 3x = 6 Add '10' to each side of the equation. -10 + 10 + 3x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 6 + 10 3x = 6 + 10 Combine like terms: 6 + 10 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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