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Simplifying 3(2x + 3) + 5(3x + -4) = 178 Reorder the terms: 3(3 + 2x) + 5(3x + -4) = 178 (3 * 3 + 2x * 3) + 5(3x + -4) = 178 (9 + 6x) + 5(3x + -4) = 178 Reorder the terms: 9 + 6x + 5(-4 + 3x) = 178 9 + 6x + (-4 * 5 + 3x * 5) = 178 9 + 6x + (-20 + 15x) = 178 Reorder the terms: 9 + -20 + 6x + 15x = 178 Combine like terms: 9 + -20 = -11 -11 + 6x + 15x = 178 Combine like terms: 6x + 15x = 21x -11 + 21x = 178 Solving -11 + 21x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 21x = 178 + 11 Combine like terms: -11 + 11 = 0 0 + 21x = 178 + 11 21x = 178 + 11 Combine like terms: 178 + 11 = 189 21x = 189 Divide each side by '21'. x = 9 Simplifying x = 9
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