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Simplifying 4(5x + -9) = -2(-1x + 7) Reorder the terms: 4(-9 + 5x) = -2(-1x + 7) (-9 * 4 + 5x * 4) = -2(-1x + 7) (-36 + 20x) = -2(-1x + 7) Reorder the terms: -36 + 20x = -2(7 + -1x) -36 + 20x = (7 * -2 + -1x * -2) -36 + 20x = (-14 + 2x) Solving -36 + 20x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + 20x + -2x = -14 + 2x + -2x Combine like terms: 20x + -2x = 18x -36 + 18x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 18x = -14 + 0 -36 + 18x = -14 Add '36' to each side of the equation. -36 + 36 + 18x = -14 + 36 Combine like terms: -36 + 36 = 0 0 + 18x = -14 + 36 18x = -14 + 36 Combine like terms: -14 + 36 = 22 18x = 22 Divide each side by '18'. x = 1.222222222 Simplifying x = 1.222222222
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