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Simplifying 8(5 + x) = 7(x + -3) (5 * 8 + x * 8) = 7(x + -3) (40 + 8x) = 7(x + -3) Reorder the terms: 40 + 8x = 7(-3 + x) 40 + 8x = (-3 * 7 + x * 7) 40 + 8x = (-21 + 7x) Solving 40 + 8x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + 8x + -7x = -21 + 7x + -7x Combine like terms: 8x + -7x = 1x 40 + 1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 1x = -21 + 0 40 + 1x = -21 Add '-40' to each side of the equation. 40 + -40 + 1x = -21 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = -21 + -40 1x = -21 + -40 Combine like terms: -21 + -40 = -61 1x = -61 Divide each side by '1'. x = -61 Simplifying x = -61
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