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Simplifying 2x + 4(x + -5) = 2(10 + -1x) Reorder the terms: 2x + 4(-5 + x) = 2(10 + -1x) 2x + (-5 * 4 + x * 4) = 2(10 + -1x) 2x + (-20 + 4x) = 2(10 + -1x) Reorder the terms: -20 + 2x + 4x = 2(10 + -1x) Combine like terms: 2x + 4x = 6x -20 + 6x = 2(10 + -1x) -20 + 6x = (10 * 2 + -1x * 2) -20 + 6x = (20 + -2x) Solving -20 + 6x = 20 + -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 + 6x + 2x = 20 + -2x + 2x Combine like terms: 6x + 2x = 8x -20 + 8x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 8x = 20 + 0 -20 + 8x = 20 Add '20' to each side of the equation. -20 + 20 + 8x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 20 + 20 8x = 20 + 20 Combine like terms: 20 + 20 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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