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