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Simplifying 4(2x + -20) = 6(3x + 2) Reorder the terms: 4(-20 + 2x) = 6(3x + 2) (-20 * 4 + 2x * 4) = 6(3x + 2) (-80 + 8x) = 6(3x + 2) Reorder the terms: -80 + 8x = 6(2 + 3x) -80 + 8x = (2 * 6 + 3x * 6) -80 + 8x = (12 + 18x) Solving -80 + 8x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -80 + 8x + -18x = 12 + 18x + -18x Combine like terms: 8x + -18x = -10x -80 + -10x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -80 + -10x = 12 + 0 -80 + -10x = 12 Add '80' to each side of the equation. -80 + 80 + -10x = 12 + 80 Combine like terms: -80 + 80 = 0 0 + -10x = 12 + 80 -10x = 12 + 80 Combine like terms: 12 + 80 = 92 -10x = 92 Divide each side by '-10'. x = -9.2 Simplifying x = -9.2
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