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Simplifying -3(x + 5) + 5(2x + -4) = 6(x + -7) + -8 Reorder the terms: -3(5 + x) + 5(2x + -4) = 6(x + -7) + -8 (5 * -3 + x * -3) + 5(2x + -4) = 6(x + -7) + -8 (-15 + -3x) + 5(2x + -4) = 6(x + -7) + -8 Reorder the terms: -15 + -3x + 5(-4 + 2x) = 6(x + -7) + -8 -15 + -3x + (-4 * 5 + 2x * 5) = 6(x + -7) + -8 -15 + -3x + (-20 + 10x) = 6(x + -7) + -8 Reorder the terms: -15 + -20 + -3x + 10x = 6(x + -7) + -8 Combine like terms: -15 + -20 = -35 -35 + -3x + 10x = 6(x + -7) + -8 Combine like terms: -3x + 10x = 7x -35 + 7x = 6(x + -7) + -8 Reorder the terms: -35 + 7x = 6(-7 + x) + -8 -35 + 7x = (-7 * 6 + x * 6) + -8 -35 + 7x = (-42 + 6x) + -8 Reorder the terms: -35 + 7x = -42 + -8 + 6x Combine like terms: -42 + -8 = -50 -35 + 7x = -50 + 6x Solving -35 + 7x = -50 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 7x + -6x = -50 + 6x + -6x Combine like terms: 7x + -6x = 1x -35 + 1x = -50 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 1x = -50 + 0 -35 + 1x = -50 Add '35' to each side of the equation. -35 + 35 + 1x = -50 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = -50 + 35 1x = -50 + 35 Combine like terms: -50 + 35 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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