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Simplifying 5(x + -3) + -3(3x + -7) = 0 Reorder the terms: 5(-3 + x) + -3(3x + -7) = 0 (-3 * 5 + x * 5) + -3(3x + -7) = 0 (-15 + 5x) + -3(3x + -7) = 0 Reorder the terms: -15 + 5x + -3(-7 + 3x) = 0 -15 + 5x + (-7 * -3 + 3x * -3) = 0 -15 + 5x + (21 + -9x) = 0 Reorder the terms: -15 + 21 + 5x + -9x = 0 Combine like terms: -15 + 21 = 6 6 + 5x + -9x = 0 Combine like terms: 5x + -9x = -4x 6 + -4x = 0 Solving 6 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 0 + -6 -4x = 0 + -6 Combine like terms: 0 + -6 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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