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Simplifying 9(2x + -8) + -3 = 9(x + -5) + (6) Reorder the terms: 9(-8 + 2x) + -3 = 9(x + -5) + (6) (-8 * 9 + 2x * 9) + -3 = 9(x + -5) + (6) (-72 + 18x) + -3 = 9(x + -5) + (6) Reorder the terms: -72 + -3 + 18x = 9(x + -5) + (6) Combine like terms: -72 + -3 = -75 -75 + 18x = 9(x + -5) + (6) Reorder the terms: -75 + 18x = 9(-5 + x) + (6) -75 + 18x = (-5 * 9 + x * 9) + (6) -75 + 18x = (-45 + 9x) + (6) -75 + 18x = -45 + 9x + 6 Reorder the terms: -75 + 18x = -45 + 6 + 9x Combine like terms: -45 + 6 = -39 -75 + 18x = -39 + 9x Solving -75 + 18x = -39 + 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 = -39 + 9x + -9x Combine like terms: 18x + -9x = 9x -75 + 9x = -39 + 9x + -9x Combine like terms: 9x + -9x = 0 -75 + 9x = -39 + 0 -75 + 9x = -39 Add '75' to each side of the equation. -75 + 75 + 9x = -39 + 75 Combine like terms: -75 + 75 = 0 0 + 9x = -39 + 75 9x = -39 + 75 Combine like terms: -39 + 75 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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