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Simplifying 4(x + -5) = 10 + -2x Reorder the terms: 4(-5 + x) = 10 + -2x (-5 * 4 + x * 4) = 10 + -2x (-20 + 4x) = 10 + -2x Solving -20 + 4x = 10 + -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. -20 + 4x + 2x = 10 + -2x + 2x Combine like terms: 4x + 2x = 6x -20 + 6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 6x = 10 + 0 -20 + 6x = 10 Add '20' to each side of the equation. -20 + 20 + 6x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 10 + 20 6x = 10 + 20 Combine like terms: 10 + 20 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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