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Simplifying 5(2x + -3) + 3(3x + -7) = 0 Reorder the terms: 5(-3 + 2x) + 3(3x + -7) = 0 (-3 * 5 + 2x * 5) + 3(3x + -7) = 0 (-15 + 10x) + 3(3x + -7) = 0 Reorder the terms: -15 + 10x + 3(-7 + 3x) = 0 -15 + 10x + (-7 * 3 + 3x * 3) = 0 -15 + 10x + (-21 + 9x) = 0 Reorder the terms: -15 + -21 + 10x + 9x = 0 Combine like terms: -15 + -21 = -36 -36 + 10x + 9x = 0 Combine like terms: 10x + 9x = 19x -36 + 19x = 0 Solving -36 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 19x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 19x = 0 + 36 19x = 0 + 36 Combine like terms: 0 + 36 = 36 19x = 36 Divide each side by '19'. x = 1.894736842 Simplifying x = 1.894736842
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