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Simplifying 9(2x + -10) + -3 = 9(x + -9) + (6) Reorder the terms: 9(-10 + 2x) + -3 = 9(x + -9) + (6) (-10 * 9 + 2x * 9) + -3 = 9(x + -9) + (6) (-90 + 18x) + -3 = 9(x + -9) + (6) Reorder the terms: -90 + -3 + 18x = 9(x + -9) + (6) Combine like terms: -90 + -3 = -93 -93 + 18x = 9(x + -9) + (6) Reorder the terms: -93 + 18x = 9(-9 + x) + (6) -93 + 18x = (-9 * 9 + x * 9) + (6) -93 + 18x = (-81 + 9x) + (6) -93 + 18x = -81 + 9x + 6 Reorder the terms: -93 + 18x = -81 + 6 + 9x Combine like terms: -81 + 6 = -75 -93 + 18x = -75 + 9x Solving -93 + 18x = -75 + 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. -93 + 18x + -9x = -75 + 9x + -9x Combine like terms: 18x + -9x = 9x -93 + 9x = -75 + 9x + -9x Combine like terms: 9x + -9x = 0 -93 + 9x = -75 + 0 -93 + 9x = -75 Add '93' to each side of the equation. -93 + 93 + 9x = -75 + 93 Combine like terms: -93 + 93 = 0 0 + 9x = -75 + 93 9x = -75 + 93 Combine like terms: -75 + 93 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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