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Simplifying 8(x + 5) = 3(x + -7) Reorder the terms: 8(5 + x) = 3(x + -7) (5 * 8 + x * 8) = 3(x + -7) (40 + 8x) = 3(x + -7) Reorder the terms: 40 + 8x = 3(-7 + x) 40 + 8x = (-7 * 3 + x * 3) 40 + 8x = (-21 + 3x) Solving 40 + 8x = -21 + 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. 40 + 8x + -3x = -21 + 3x + -3x Combine like terms: 8x + -3x = 5x 40 + 5x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 5x = -21 + 0 40 + 5x = -21 Add '-40' to each side of the equation. 40 + -40 + 5x = -21 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = -21 + -40 5x = -21 + -40 Combine like terms: -21 + -40 = -61 5x = -61 Divide each side by '5'. x = -12.2 Simplifying x = -12.2
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