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