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Simplifying 2(x + -3) + 2 = 5x + 1 Reorder the terms: 2(-3 + x) + 2 = 5x + 1 (-3 * 2 + x * 2) + 2 = 5x + 1 (-6 + 2x) + 2 = 5x + 1 Reorder the terms: -6 + 2 + 2x = 5x + 1 Combine like terms: -6 + 2 = -4 -4 + 2x = 5x + 1 Reorder the terms: -4 + 2x = 1 + 5x Solving -4 + 2x = 1 + 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. -4 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x -4 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -3x = 1 + 0 -4 + -3x = 1 Add '4' to each side of the equation. -4 + 4 + -3x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 1 + 4 -3x = 1 + 4 Combine like terms: 1 + 4 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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