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Simplifying 4x + 24 = 8(x + 7) Reorder the terms: 24 + 4x = 8(x + 7) Reorder the terms: 24 + 4x = 8(7 + x) 24 + 4x = (7 * 8 + x * 8) 24 + 4x = (56 + 8x) Solving 24 + 4x = 56 + 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. 24 + 4x + -8x = 56 + 8x + -8x Combine like terms: 4x + -8x = -4x 24 + -4x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -4x = 56 + 0 24 + -4x = 56 Add '-24' to each side of the equation. 24 + -24 + -4x = 56 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 56 + -24 -4x = 56 + -24 Combine like terms: 56 + -24 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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