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Simplifying 4x + -12 = -3x + 51 Reorder the terms: -12 + 4x = -3x + 51 Reorder the terms: -12 + 4x = 51 + -3x Solving -12 + 4x = 51 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 4x + 3x = 51 + -3x + 3x Combine like terms: 4x + 3x = 7x -12 + 7x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 7x = 51 + 0 -12 + 7x = 51 Add '12' to each side of the equation. -12 + 12 + 7x = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 51 + 12 7x = 51 + 12 Combine like terms: 51 + 12 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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