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Simplifying 5(3x + -4) = 12 + 7x Reorder the terms: 5(-4 + 3x) = 12 + 7x (-4 * 5 + 3x * 5) = 12 + 7x (-20 + 15x) = 12 + 7x Solving -20 + 15x = 12 + 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 = 12 + 7x + -7x Combine like terms: 15x + -7x = 8x -20 + 8x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 8x = 12 + 0 -20 + 8x = 12 Add '20' to each side of the equation. -20 + 20 + 8x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 12 + 20 8x = 12 + 20 Combine like terms: 12 + 20 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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