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Simplifying 3(x + -10) = 4(2x + 20) Reorder the terms: 3(-10 + x) = 4(2x + 20) (-10 * 3 + x * 3) = 4(2x + 20) (-30 + 3x) = 4(2x + 20) Reorder the terms: -30 + 3x = 4(20 + 2x) -30 + 3x = (20 * 4 + 2x * 4) -30 + 3x = (80 + 8x) Solving -30 + 3x = 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. -30 + 3x + -8x = 80 + 8x + -8x Combine like terms: 3x + -8x = -5x -30 + -5x = 80 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -5x = 80 + 0 -30 + -5x = 80 Add '30' to each side of the equation. -30 + 30 + -5x = 80 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = 80 + 30 -5x = 80 + 30 Combine like terms: 80 + 30 = 110 -5x = 110 Divide each side by '-5'. x = -22 Simplifying x = -22
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