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Simplifying 4(x + 7) = 8(x + 3) Reorder the terms: 4(7 + x) = 8(x + 3) (7 * 4 + x * 4) = 8(x + 3) (28 + 4x) = 8(x + 3) Reorder the terms: 28 + 4x = 8(3 + x) 28 + 4x = (3 * 8 + x * 8) 28 + 4x = (24 + 8x) Solving 28 + 4x = 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. 28 + 4x + -8x = 24 + 8x + -8x Combine like terms: 4x + -8x = -4x 28 + -4x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -4x = 24 + 0 28 + -4x = 24 Add '-28' to each side of the equation. 28 + -28 + -4x = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 24 + -28 -4x = 24 + -28 Combine like terms: 24 + -28 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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