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Simplifying 9(x + -2) + -6(x + 7) = 4(5x + -2) Reorder the terms: 9(-2 + x) + -6(x + 7) = 4(5x + -2) (-2 * 9 + x * 9) + -6(x + 7) = 4(5x + -2) (-18 + 9x) + -6(x + 7) = 4(5x + -2) Reorder the terms: -18 + 9x + -6(7 + x) = 4(5x + -2) -18 + 9x + (7 * -6 + x * -6) = 4(5x + -2) -18 + 9x + (-42 + -6x) = 4(5x + -2) Reorder the terms: -18 + -42 + 9x + -6x = 4(5x + -2) Combine like terms: -18 + -42 = -60 -60 + 9x + -6x = 4(5x + -2) Combine like terms: 9x + -6x = 3x -60 + 3x = 4(5x + -2) Reorder the terms: -60 + 3x = 4(-2 + 5x) -60 + 3x = (-2 * 4 + 5x * 4) -60 + 3x = (-8 + 20x) Solving -60 + 3x = -8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -60 + 3x + -20x = -8 + 20x + -20x Combine like terms: 3x + -20x = -17x -60 + -17x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 -60 + -17x = -8 + 0 -60 + -17x = -8 Add '60' to each side of the equation. -60 + 60 + -17x = -8 + 60 Combine like terms: -60 + 60 = 0 0 + -17x = -8 + 60 -17x = -8 + 60 Combine like terms: -8 + 60 = 52 -17x = 52 Divide each side by '-17'. x = -3.058823529 Simplifying x = -3.058823529
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