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Simplifying 12(x + 26) = 16(x + 20) Reorder the terms: 12(26 + x) = 16(x + 20) (26 * 12 + x * 12) = 16(x + 20) (312 + 12x) = 16(x + 20) Reorder the terms: 312 + 12x = 16(20 + x) 312 + 12x = (20 * 16 + x * 16) 312 + 12x = (320 + 16x) Solving 312 + 12x = 320 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 312 + 12x + -16x = 320 + 16x + -16x Combine like terms: 12x + -16x = -4x 312 + -4x = 320 + 16x + -16x Combine like terms: 16x + -16x = 0 312 + -4x = 320 + 0 312 + -4x = 320 Add '-312' to each side of the equation. 312 + -312 + -4x = 320 + -312 Combine like terms: 312 + -312 = 0 0 + -4x = 320 + -312 -4x = 320 + -312 Combine like terms: 320 + -312 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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