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Simplifying 8(x + -1) = 7(3 + x) Reorder the terms: 8(-1 + x) = 7(3 + x) (-1 * 8 + x * 8) = 7(3 + x) (-8 + 8x) = 7(3 + x) -8 + 8x = (3 * 7 + x * 7) -8 + 8x = (21 + 7x) Solving -8 + 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. -8 + 8x + -7x = 21 + 7x + -7x Combine like terms: 8x + -7x = 1x -8 + 1x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 1x = 21 + 0 -8 + 1x = 21 Add '8' to each side of the equation. -8 + 8 + 1x = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 21 + 8 1x = 21 + 8 Combine like terms: 21 + 8 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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