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Simplifying 2(4 + -3x) + 5(2 * -3) = 20 + -5x (4 * 2 + -3x * 2) + 5(2 * -3) = 20 + -5x (8 + -6x) + 5(2 * -3) = 20 + -5x Multiply 2 * -3 8 + -6x + 5(-6) = 20 + -5x Multiply 5 * -6 8 + -6x + -30 = 20 + -5x Reorder the terms: 8 + -30 + -6x = 20 + -5x Combine like terms: 8 + -30 = -22 -22 + -6x = 20 + -5x Solving -22 + -6x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -22 + -6x + 5x = 20 + -5x + 5x Combine like terms: -6x + 5x = -1x -22 + -1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -22 + -1x = 20 + 0 -22 + -1x = 20 Add '22' to each side of the equation. -22 + 22 + -1x = 20 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 20 + 22 -1x = 20 + 22 Combine like terms: 20 + 22 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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