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Simplifying 8(x + -3) = -5(2x + -7) Reorder the terms: 8(-3 + x) = -5(2x + -7) (-3 * 8 + x * 8) = -5(2x + -7) (-24 + 8x) = -5(2x + -7) Reorder the terms: -24 + 8x = -5(-7 + 2x) -24 + 8x = (-7 * -5 + 2x * -5) -24 + 8x = (35 + -10x) Solving -24 + 8x = 35 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -24 + 8x + 10x = 35 + -10x + 10x Combine like terms: 8x + 10x = 18x -24 + 18x = 35 + -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 18x = 35 + 0 -24 + 18x = 35 Add '24' to each side of the equation. -24 + 24 + 18x = 35 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = 35 + 24 18x = 35 + 24 Combine like terms: 35 + 24 = 59 18x = 59 Divide each side by '18'. x = 3.277777778 Simplifying x = 3.277777778
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