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