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Simplifying 4(2x + 13) = x + 2(12) Reorder the terms: 4(13 + 2x) = x + 2(12) (13 * 4 + 2x * 4) = x + 2(12) (52 + 8x) = x + 2(12) Multiply 2 * 12 52 + 8x = x + 24 Reorder the terms: 52 + 8x = 24 + x Solving 52 + 8x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 52 + 8x + -1x = 24 + x + -1x Combine like terms: 8x + -1x = 7x 52 + 7x = 24 + x + -1x Combine like terms: x + -1x = 0 52 + 7x = 24 + 0 52 + 7x = 24 Add '-52' to each side of the equation. 52 + -52 + 7x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + 7x = 24 + -52 7x = 24 + -52 Combine like terms: 24 + -52 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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