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Simplifying 4(3x + 19) = 5(3x + -4) Reorder the terms: 4(19 + 3x) = 5(3x + -4) (19 * 4 + 3x * 4) = 5(3x + -4) (76 + 12x) = 5(3x + -4) Reorder the terms: 76 + 12x = 5(-4 + 3x) 76 + 12x = (-4 * 5 + 3x * 5) 76 + 12x = (-20 + 15x) Solving 76 + 12x = -20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 76 + 12x + -15x = -20 + 15x + -15x Combine like terms: 12x + -15x = -3x 76 + -3x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 76 + -3x = -20 + 0 76 + -3x = -20 Add '-76' to each side of the equation. 76 + -76 + -3x = -20 + -76 Combine like terms: 76 + -76 = 0 0 + -3x = -20 + -76 -3x = -20 + -76 Combine like terms: -20 + -76 = -96 -3x = -96 Divide each side by '-3'. x = 32 Simplifying x = 32
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