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Simplifying 7(x + 3) = 8(x + -3) Reorder the terms: 7(3 + x) = 8(x + -3) (3 * 7 + x * 7) = 8(x + -3) (21 + 7x) = 8(x + -3) Reorder the terms: 21 + 7x = 8(-3 + x) 21 + 7x = (-3 * 8 + x * 8) 21 + 7x = (-24 + 8x) Solving 21 + 7x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 7x + -8x = -24 + 8x + -8x Combine like terms: 7x + -8x = -1x 21 + -1x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -1x = -24 + 0 21 + -1x = -24 Add '-21' to each side of the equation. 21 + -21 + -1x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -24 + -21 -1x = -24 + -21 Combine like terms: -24 + -21 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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