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Simplifying 2(4x + -30) = 10(x + -10) Reorder the terms: 2(-30 + 4x) = 10(x + -10) (-30 * 2 + 4x * 2) = 10(x + -10) (-60 + 8x) = 10(x + -10) Reorder the terms: -60 + 8x = 10(-10 + x) -60 + 8x = (-10 * 10 + x * 10) -60 + 8x = (-100 + 10x) Solving -60 + 8x = -100 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -60 + 8x + -10x = -100 + 10x + -10x Combine like terms: 8x + -10x = -2x -60 + -2x = -100 + 10x + -10x Combine like terms: 10x + -10x = 0 -60 + -2x = -100 + 0 -60 + -2x = -100 Add '60' to each side of the equation. -60 + 60 + -2x = -100 + 60 Combine like terms: -60 + 60 = 0 0 + -2x = -100 + 60 -2x = -100 + 60 Combine like terms: -100 + 60 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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