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Simplifying 5(2x + -3) + -3(3x + -7) = 5 Reorder the terms: 5(-3 + 2x) + -3(3x + -7) = 5 (-3 * 5 + 2x * 5) + -3(3x + -7) = 5 (-15 + 10x) + -3(3x + -7) = 5 Reorder the terms: -15 + 10x + -3(-7 + 3x) = 5 -15 + 10x + (-7 * -3 + 3x * -3) = 5 -15 + 10x + (21 + -9x) = 5 Reorder the terms: -15 + 21 + 10x + -9x = 5 Combine like terms: -15 + 21 = 6 6 + 10x + -9x = 5 Combine like terms: 10x + -9x = 1x 6 + 1x = 5 Solving 6 + 1x = 5 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 + 1x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 5 + -6 1x = 5 + -6 Combine like terms: 5 + -6 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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