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Simplifying 4(2x + -5) + 10 = -2(x + -10) Reorder the terms: 4(-5 + 2x) + 10 = -2(x + -10) (-5 * 4 + 2x * 4) + 10 = -2(x + -10) (-20 + 8x) + 10 = -2(x + -10) Reorder the terms: -20 + 10 + 8x = -2(x + -10) Combine like terms: -20 + 10 = -10 -10 + 8x = -2(x + -10) Reorder the terms: -10 + 8x = -2(-10 + x) -10 + 8x = (-10 * -2 + x * -2) -10 + 8x = (20 + -2x) Solving -10 + 8x = 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. -10 + 8x + 2x = 20 + -2x + 2x Combine like terms: 8x + 2x = 10x -10 + 10x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 10x = 20 + 0 -10 + 10x = 20 Add '10' to each side of the equation. -10 + 10 + 10x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 20 + 10 10x = 20 + 10 Combine like terms: 20 + 10 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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