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