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Simplifying 3(3x + -4) + 5(6x + -5) = 119 Reorder the terms: 3(-4 + 3x) + 5(6x + -5) = 119 (-4 * 3 + 3x * 3) + 5(6x + -5) = 119 (-12 + 9x) + 5(6x + -5) = 119 Reorder the terms: -12 + 9x + 5(-5 + 6x) = 119 -12 + 9x + (-5 * 5 + 6x * 5) = 119 -12 + 9x + (-25 + 30x) = 119 Reorder the terms: -12 + -25 + 9x + 30x = 119 Combine like terms: -12 + -25 = -37 -37 + 9x + 30x = 119 Combine like terms: 9x + 30x = 39x -37 + 39x = 119 Solving -37 + 39x = 119 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 39x = 119 + 37 Combine like terms: -37 + 37 = 0 0 + 39x = 119 + 37 39x = 119 + 37 Combine like terms: 119 + 37 = 156 39x = 156 Divide each side by '39'. x = 4 Simplifying x = 4
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