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Simplifying 8 + 5(x + -4) = 10 + -3(x + -7) Reorder the terms: 8 + 5(-4 + x) = 10 + -3(x + -7) 8 + (-4 * 5 + x * 5) = 10 + -3(x + -7) 8 + (-20 + 5x) = 10 + -3(x + -7) Combine like terms: 8 + -20 = -12 -12 + 5x = 10 + -3(x + -7) Reorder the terms: -12 + 5x = 10 + -3(-7 + x) -12 + 5x = 10 + (-7 * -3 + x * -3) -12 + 5x = 10 + (21 + -3x) Combine like terms: 10 + 21 = 31 -12 + 5x = 31 + -3x Solving -12 + 5x = 31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 5x + 3x = 31 + -3x + 3x Combine like terms: 5x + 3x = 8x -12 + 8x = 31 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 8x = 31 + 0 -12 + 8x = 31 Add '12' to each side of the equation. -12 + 12 + 8x = 31 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 31 + 12 8x = 31 + 12 Combine like terms: 31 + 12 = 43 8x = 43 Divide each side by '8'. x = 5.375 Simplifying x = 5.375
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