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Simplifying 5x + -2(3x + -2) = -2x + 6 Reorder the terms: 5x + -2(-2 + 3x) = -2x + 6 5x + (-2 * -2 + 3x * -2) = -2x + 6 5x + (4 + -6x) = -2x + 6 Reorder the terms: 4 + 5x + -6x = -2x + 6 Combine like terms: 5x + -6x = -1x 4 + -1x = -2x + 6 Reorder the terms: 4 + -1x = 6 + -2x Solving 4 + -1x = 6 + -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. 4 + -1x + 2x = 6 + -2x + 2x Combine like terms: -1x + 2x = 1x 4 + 1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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