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