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Simplifying 3(4x + 4 + -6) + 5(x + -3) = 89 Reorder the terms: 3(4 + -6 + 4x) + 5(x + -3) = 89 Combine like terms: 4 + -6 = -2 3(-2 + 4x) + 5(x + -3) = 89 (-2 * 3 + 4x * 3) + 5(x + -3) = 89 (-6 + 12x) + 5(x + -3) = 89 Reorder the terms: -6 + 12x + 5(-3 + x) = 89 -6 + 12x + (-3 * 5 + x * 5) = 89 -6 + 12x + (-15 + 5x) = 89 Reorder the terms: -6 + -15 + 12x + 5x = 89 Combine like terms: -6 + -15 = -21 -21 + 12x + 5x = 89 Combine like terms: 12x + 5x = 17x -21 + 17x = 89 Solving -21 + 17x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 17x = 89 + 21 Combine like terms: -21 + 21 = 0 0 + 17x = 89 + 21 17x = 89 + 21 Combine like terms: 89 + 21 = 110 17x = 110 Divide each side by '17'. x = 6.470588235 Simplifying x = 6.470588235
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