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Simplifying 4x + 2(x + -5) = 3x + 2 Reorder the terms: 4x + 2(-5 + x) = 3x + 2 4x + (-5 * 2 + x * 2) = 3x + 2 4x + (-10 + 2x) = 3x + 2 Reorder the terms: -10 + 4x + 2x = 3x + 2 Combine like terms: 4x + 2x = 6x -10 + 6x = 3x + 2 Reorder the terms: -10 + 6x = 2 + 3x Solving -10 + 6x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 6x + -3x = 2 + 3x + -3x Combine like terms: 6x + -3x = 3x -10 + 3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 3x = 2 + 0 -10 + 3x = 2 Add '10' to each side of the equation. -10 + 10 + 3x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 2 + 10 3x = 2 + 10 Combine like terms: 2 + 10 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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