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Simplifying 8(3x + -3) = 9(x + 10) Reorder the terms: 8(-3 + 3x) = 9(x + 10) (-3 * 8 + 3x * 8) = 9(x + 10) (-24 + 24x) = 9(x + 10) Reorder the terms: -24 + 24x = 9(10 + x) -24 + 24x = (10 * 9 + x * 9) -24 + 24x = (90 + 9x) Solving -24 + 24x = 90 + 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. -24 + 24x + -9x = 90 + 9x + -9x Combine like terms: 24x + -9x = 15x -24 + 15x = 90 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 15x = 90 + 0 -24 + 15x = 90 Add '24' to each side of the equation. -24 + 24 + 15x = 90 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 90 + 24 15x = 90 + 24 Combine like terms: 90 + 24 = 114 15x = 114 Divide each side by '15'. x = 7.6 Simplifying x = 7.6
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