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Simplifying 2x + -6 + 4x = 5(2x + -2) + 2 Reorder the terms: -6 + 2x + 4x = 5(2x + -2) + 2 Combine like terms: 2x + 4x = 6x -6 + 6x = 5(2x + -2) + 2 Reorder the terms: -6 + 6x = 5(-2 + 2x) + 2 -6 + 6x = (-2 * 5 + 2x * 5) + 2 -6 + 6x = (-10 + 10x) + 2 Reorder the terms: -6 + 6x = -10 + 2 + 10x Combine like terms: -10 + 2 = -8 -6 + 6x = -8 + 10x Solving -6 + 6x = -8 + 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. -6 + 6x + -10x = -8 + 10x + -10x Combine like terms: 6x + -10x = -4x -6 + -4x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -4x = -8 + 0 -6 + -4x = -8 Add '6' to each side of the equation. -6 + 6 + -4x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -8 + 6 -4x = -8 + 6 Combine like terms: -8 + 6 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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