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Simplifying (x + 3) * 12 = 8(4x + -5) Reorder the terms: (3 + x) * 12 = 8(4x + -5) Reorder the terms for easier multiplication: 12(3 + x) = 8(4x + -5) (3 * 12 + x * 12) = 8(4x + -5) (36 + 12x) = 8(4x + -5) Reorder the terms: 36 + 12x = 8(-5 + 4x) 36 + 12x = (-5 * 8 + 4x * 8) 36 + 12x = (-40 + 32x) Solving 36 + 12x = -40 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 36 + 12x + -32x = -40 + 32x + -32x Combine like terms: 12x + -32x = -20x 36 + -20x = -40 + 32x + -32x Combine like terms: 32x + -32x = 0 36 + -20x = -40 + 0 36 + -20x = -40 Add '-36' to each side of the equation. 36 + -36 + -20x = -40 + -36 Combine like terms: 36 + -36 = 0 0 + -20x = -40 + -36 -20x = -40 + -36 Combine like terms: -40 + -36 = -76 -20x = -76 Divide each side by '-20'. x = 3.8 Simplifying x = 3.8
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