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Simplifying 5(3x + -12) = 7x + -12 Reorder the terms: 5(-12 + 3x) = 7x + -12 (-12 * 5 + 3x * 5) = 7x + -12 (-60 + 15x) = 7x + -12 Reorder the terms: -60 + 15x = -12 + 7x Solving -60 + 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. -60 + 15x + -7x = -12 + 7x + -7x Combine like terms: 15x + -7x = 8x -60 + 8x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -60 + 8x = -12 + 0 -60 + 8x = -12 Add '60' to each side of the equation. -60 + 60 + 8x = -12 + 60 Combine like terms: -60 + 60 = 0 0 + 8x = -12 + 60 8x = -12 + 60 Combine like terms: -12 + 60 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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