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Simplifying 5(6x + -7) + -2(3x + 4) = 149 Reorder the terms: 5(-7 + 6x) + -2(3x + 4) = 149 (-7 * 5 + 6x * 5) + -2(3x + 4) = 149 (-35 + 30x) + -2(3x + 4) = 149 Reorder the terms: -35 + 30x + -2(4 + 3x) = 149 -35 + 30x + (4 * -2 + 3x * -2) = 149 -35 + 30x + (-8 + -6x) = 149 Reorder the terms: -35 + -8 + 30x + -6x = 149 Combine like terms: -35 + -8 = -43 -43 + 30x + -6x = 149 Combine like terms: 30x + -6x = 24x -43 + 24x = 149 Solving -43 + 24x = 149 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 24x = 149 + 43 Combine like terms: -43 + 43 = 0 0 + 24x = 149 + 43 24x = 149 + 43 Combine like terms: 149 + 43 = 192 24x = 192 Divide each side by '24'. x = 8 Simplifying x = 8
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