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Simplifying 2(3x + -2) + -2 = 2(x + -2) + 6 Reorder the terms: 2(-2 + 3x) + -2 = 2(x + -2) + 6 (-2 * 2 + 3x * 2) + -2 = 2(x + -2) + 6 (-4 + 6x) + -2 = 2(x + -2) + 6 Reorder the terms: -4 + -2 + 6x = 2(x + -2) + 6 Combine like terms: -4 + -2 = -6 -6 + 6x = 2(x + -2) + 6 Reorder the terms: -6 + 6x = 2(-2 + x) + 6 -6 + 6x = (-2 * 2 + x * 2) + 6 -6 + 6x = (-4 + 2x) + 6 Reorder the terms: -6 + 6x = -4 + 6 + 2x Combine like terms: -4 + 6 = 2 -6 + 6x = 2 + 2x Solving -6 + 6x = 2 + 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 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x -6 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 4x = 2 + 0 -6 + 4x = 2 Add '6' to each side of the equation. -6 + 6 + 4x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 2 + 6 4x = 2 + 6 Combine like terms: 2 + 6 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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