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Simplifying 3(9x + -5) = 8(3x) + -2 Reorder the terms: 3(-5 + 9x) = 8(3x) + -2 (-5 * 3 + 9x * 3) = 8(3x) + -2 (-15 + 27x) = 8(3x) + -2 Remove parenthesis around (3x) -15 + 27x = 8 * 3x + -2 Multiply 8 * 3 -15 + 27x = 24x + -2 Reorder the terms: -15 + 27x = -2 + 24x Solving -15 + 27x = -2 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + 27x + -24x = -2 + 24x + -24x Combine like terms: 27x + -24x = 3x -15 + 3x = -2 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + 3x = -2 + 0 -15 + 3x = -2 Add '15' to each side of the equation. -15 + 15 + 3x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -2 + 15 3x = -2 + 15 Combine like terms: -2 + 15 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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