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Simplifying 4(5x + -1) + -5(2x + -13) = 9x + 12 Reorder the terms: 4(-1 + 5x) + -5(2x + -13) = 9x + 12 (-1 * 4 + 5x * 4) + -5(2x + -13) = 9x + 12 (-4 + 20x) + -5(2x + -13) = 9x + 12 Reorder the terms: -4 + 20x + -5(-13 + 2x) = 9x + 12 -4 + 20x + (-13 * -5 + 2x * -5) = 9x + 12 -4 + 20x + (65 + -10x) = 9x + 12 Reorder the terms: -4 + 65 + 20x + -10x = 9x + 12 Combine like terms: -4 + 65 = 61 61 + 20x + -10x = 9x + 12 Combine like terms: 20x + -10x = 10x 61 + 10x = 9x + 12 Reorder the terms: 61 + 10x = 12 + 9x Solving 61 + 10x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 61 + 10x + -9x = 12 + 9x + -9x Combine like terms: 10x + -9x = 1x 61 + 1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 61 + 1x = 12 + 0 61 + 1x = 12 Add '-61' to each side of the equation. 61 + -61 + 1x = 12 + -61 Combine like terms: 61 + -61 = 0 0 + 1x = 12 + -61 1x = 12 + -61 Combine like terms: 12 + -61 = -49 1x = -49 Divide each side by '1'. x = -49 Simplifying x = -49
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