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Simplifying 2(x + -5) + 6x = 4x + -2 Reorder the terms: 2(-5 + x) + 6x = 4x + -2 (-5 * 2 + x * 2) + 6x = 4x + -2 (-10 + 2x) + 6x = 4x + -2 Combine like terms: 2x + 6x = 8x -10 + 8x = 4x + -2 Reorder the terms: -10 + 8x = -2 + 4x Solving -10 + 8x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 8x + -4x = -2 + 4x + -4x Combine like terms: 8x + -4x = 4x -10 + 4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 4x = -2 + 0 -10 + 4x = -2 Add '10' to each side of the equation. -10 + 10 + 4x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -2 + 10 4x = -2 + 10 Combine like terms: -2 + 10 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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