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Simplifying 6 + 2(x + -5) = 2(-1x + 4) Reorder the terms: 6 + 2(-5 + x) = 2(-1x + 4) 6 + (-5 * 2 + x * 2) = 2(-1x + 4) 6 + (-10 + 2x) = 2(-1x + 4) Combine like terms: 6 + -10 = -4 -4 + 2x = 2(-1x + 4) Reorder the terms: -4 + 2x = 2(4 + -1x) -4 + 2x = (4 * 2 + -1x * 2) -4 + 2x = (8 + -2x) Solving -4 + 2x = 8 + -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 + 2x + 2x = 8 + -2x + 2x Combine like terms: 2x + 2x = 4x -4 + 4x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 4x = 8 + 0 -4 + 4x = 8 Add '4' to each side of the equation. -4 + 4 + 4x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 8 + 4 4x = 8 + 4 Combine like terms: 8 + 4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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