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Simplifying 2 + -2x + 6x = -2(-5x + 2) Combine like terms: -2x + 6x = 4x 2 + 4x = -2(-5x + 2) Reorder the terms: 2 + 4x = -2(2 + -5x) 2 + 4x = (2 * -2 + -5x * -2) 2 + 4x = (-4 + 10x) Solving 2 + 4x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 4x + -10x = -4 + 10x + -10x Combine like terms: 4x + -10x = -6x 2 + -6x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -6x = -4 + 0 2 + -6x = -4 Add '-2' to each side of the equation. 2 + -2 + -6x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -4 + -2 -6x = -4 + -2 Combine like terms: -4 + -2 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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