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Simplifying 2(2x + -10) = 8(x + -10) Reorder the terms: 2(-10 + 2x) = 8(x + -10) (-10 * 2 + 2x * 2) = 8(x + -10) (-20 + 4x) = 8(x + -10) Reorder the terms: -20 + 4x = 8(-10 + x) -20 + 4x = (-10 * 8 + x * 8) -20 + 4x = (-80 + 8x) Solving -20 + 4x = -80 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 4x + -8x = -80 + 8x + -8x Combine like terms: 4x + -8x = -4x -20 + -4x = -80 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -4x = -80 + 0 -20 + -4x = -80 Add '20' to each side of the equation. -20 + 20 + -4x = -80 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -80 + 20 -4x = -80 + 20 Combine like terms: -80 + 20 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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