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Simplifying 9(2x + -8) + -3 = 9(x + -7) + 6 Reorder the terms: 9(-8 + 2x) + -3 = 9(x + -7) + 6 (-8 * 9 + 2x * 9) + -3 = 9(x + -7) + 6 (-72 + 18x) + -3 = 9(x + -7) + 6 Reorder the terms: -72 + -3 + 18x = 9(x + -7) + 6 Combine like terms: -72 + -3 = -75 -75 + 18x = 9(x + -7) + 6 Reorder the terms: -75 + 18x = 9(-7 + x) + 6 -75 + 18x = (-7 * 9 + x * 9) + 6 -75 + 18x = (-63 + 9x) + 6 Reorder the terms: -75 + 18x = -63 + 6 + 9x Combine like terms: -63 + 6 = -57 -75 + 18x = -57 + 9x Solving -75 + 18x = -57 + 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. -75 + 18x + -9x = -57 + 9x + -9x Combine like terms: 18x + -9x = 9x -75 + 9x = -57 + 9x + -9x Combine like terms: 9x + -9x = 0 -75 + 9x = -57 + 0 -75 + 9x = -57 Add '75' to each side of the equation. -75 + 75 + 9x = -57 + 75 Combine like terms: -75 + 75 = 0 0 + 9x = -57 + 75 9x = -57 + 75 Combine like terms: -57 + 75 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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