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Simplifying 3x + -5 = 2(x + -1) + 6 Reorder the terms: -5 + 3x = 2(x + -1) + 6 Reorder the terms: -5 + 3x = 2(-1 + x) + 6 -5 + 3x = (-1 * 2 + x * 2) + 6 -5 + 3x = (-2 + 2x) + 6 Reorder the terms: -5 + 3x = -2 + 6 + 2x Combine like terms: -2 + 6 = 4 -5 + 3x = 4 + 2x Solving -5 + 3x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 3x + -2x = 4 + 2x + -2x Combine like terms: 3x + -2x = 1x -5 + 1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 1x = 4 + 0 -5 + 1x = 4 Add '5' to each side of the equation. -5 + 5 + 1x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 4 + 5 1x = 4 + 5 Combine like terms: 4 + 5 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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