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