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Simplifying 5(-4) + 8(x + 6) = 12(x + 4) Multiply 5 * -4 -20 + 8(x + 6) = 12(x + 4) Reorder the terms: -20 + 8(6 + x) = 12(x + 4) -20 + (6 * 8 + x * 8) = 12(x + 4) -20 + (48 + 8x) = 12(x + 4) Combine like terms: -20 + 48 = 28 28 + 8x = 12(x + 4) Reorder the terms: 28 + 8x = 12(4 + x) 28 + 8x = (4 * 12 + x * 12) 28 + 8x = (48 + 12x) Solving 28 + 8x = 48 + 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. 28 + 8x + -12x = 48 + 12x + -12x Combine like terms: 8x + -12x = -4x 28 + -4x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + -4x = 48 + 0 28 + -4x = 48 Add '-28' to each side of the equation. 28 + -28 + -4x = 48 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 48 + -28 -4x = 48 + -28 Combine like terms: 48 + -28 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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