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Simplifying 5(3x + -7) + -4(2x + -5) = -8 Reorder the terms: 5(-7 + 3x) + -4(2x + -5) = -8 (-7 * 5 + 3x * 5) + -4(2x + -5) = -8 (-35 + 15x) + -4(2x + -5) = -8 Reorder the terms: -35 + 15x + -4(-5 + 2x) = -8 -35 + 15x + (-5 * -4 + 2x * -4) = -8 -35 + 15x + (20 + -8x) = -8 Reorder the terms: -35 + 20 + 15x + -8x = -8 Combine like terms: -35 + 20 = -15 -15 + 15x + -8x = -8 Combine like terms: 15x + -8x = 7x -15 + 7x = -8 Solving -15 + 7x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -8 + 15 7x = -8 + 15 Combine like terms: -8 + 15 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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