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Simplifying 3(4x + -5) = 7(x + -4) + 12 Reorder the terms: 3(-5 + 4x) = 7(x + -4) + 12 (-5 * 3 + 4x * 3) = 7(x + -4) + 12 (-15 + 12x) = 7(x + -4) + 12 Reorder the terms: -15 + 12x = 7(-4 + x) + 12 -15 + 12x = (-4 * 7 + x * 7) + 12 -15 + 12x = (-28 + 7x) + 12 Reorder the terms: -15 + 12x = -28 + 12 + 7x Combine like terms: -28 + 12 = -16 -15 + 12x = -16 + 7x Solving -15 + 12x = -16 + 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. -15 + 12x + -7x = -16 + 7x + -7x Combine like terms: 12x + -7x = 5x -15 + 5x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 5x = -16 + 0 -15 + 5x = -16 Add '15' to each side of the equation. -15 + 15 + 5x = -16 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -16 + 15 5x = -16 + 15 Combine like terms: -16 + 15 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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