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Simplifying 5(3x + 4) = 7(x + 2) + 12 Reorder the terms: 5(4 + 3x) = 7(x + 2) + 12 (4 * 5 + 3x * 5) = 7(x + 2) + 12 (20 + 15x) = 7(x + 2) + 12 Reorder the terms: 20 + 15x = 7(2 + x) + 12 20 + 15x = (2 * 7 + x * 7) + 12 20 + 15x = (14 + 7x) + 12 Reorder the terms: 20 + 15x = 14 + 12 + 7x Combine like terms: 14 + 12 = 26 20 + 15x = 26 + 7x Solving 20 + 15x = 26 + 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 + 15x + -7x = 26 + 7x + -7x Combine like terms: 15x + -7x = 8x 20 + 8x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 8x = 26 + 0 20 + 8x = 26 Add '-20' to each side of the equation. 20 + -20 + 8x = 26 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 26 + -20 8x = 26 + -20 Combine like terms: 26 + -20 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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