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Simplifying 2(x + -3) = -2(3x + -1) + 5x + 1 Reorder the terms: 2(-3 + x) = -2(3x + -1) + 5x + 1 (-3 * 2 + x * 2) = -2(3x + -1) + 5x + 1 (-6 + 2x) = -2(3x + -1) + 5x + 1 Reorder the terms: -6 + 2x = -2(-1 + 3x) + 5x + 1 -6 + 2x = (-1 * -2 + 3x * -2) + 5x + 1 -6 + 2x = (2 + -6x) + 5x + 1 Reorder the terms: -6 + 2x = 2 + 1 + -6x + 5x Combine like terms: 2 + 1 = 3 -6 + 2x = 3 + -6x + 5x Combine like terms: -6x + 5x = -1x -6 + 2x = 3 + -1x Solving -6 + 2x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 2x + x = 3 + -1x + x Combine like terms: 2x + x = 3x -6 + 3x = 3 + -1x + x Combine like terms: -1x + x = 0 -6 + 3x = 3 + 0 -6 + 3x = 3 Add '6' to each side of the equation. -6 + 6 + 3x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 3 + 6 3x = 3 + 6 Combine like terms: 3 + 6 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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