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Simplifying 4(3x + 5) = 7(x + 3) + -8 Reorder the terms: 4(5 + 3x) = 7(x + 3) + -8 (5 * 4 + 3x * 4) = 7(x + 3) + -8 (20 + 12x) = 7(x + 3) + -8 Reorder the terms: 20 + 12x = 7(3 + x) + -8 20 + 12x = (3 * 7 + x * 7) + -8 20 + 12x = (21 + 7x) + -8 Reorder the terms: 20 + 12x = 21 + -8 + 7x Combine like terms: 21 + -8 = 13 20 + 12x = 13 + 7x Solving 20 + 12x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 12x + -7x = 13 + 7x + -7x Combine like terms: 12x + -7x = 5x 20 + 5x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 5x = 13 + 0 20 + 5x = 13 Add '-20' to each side of the equation. 20 + -20 + 5x = 13 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 13 + -20 5x = 13 + -20 Combine like terms: 13 + -20 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4
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