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Simplifying 6x + -12 = 7x + 6(5x + -2) Reorder the terms: -12 + 6x = 7x + 6(5x + -2) Reorder the terms: -12 + 6x = 7x + 6(-2 + 5x) -12 + 6x = 7x + (-2 * 6 + 5x * 6) -12 + 6x = 7x + (-12 + 30x) Reorder the terms: -12 + 6x = -12 + 7x + 30x Combine like terms: 7x + 30x = 37x -12 + 6x = -12 + 37x Add '12' to each side of the equation. -12 + 12 + 6x = -12 + 12 + 37x Combine like terms: -12 + 12 = 0 0 + 6x = -12 + 12 + 37x 6x = -12 + 12 + 37x Combine like terms: -12 + 12 = 0 6x = 0 + 37x 6x = 37x Solving 6x = 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. 6x + -37x = 37x + -37x Combine like terms: 6x + -37x = -31x -31x = 37x + -37x Combine like terms: 37x + -37x = 0 -31x = 0 Divide each side by '-31'. x = 0 Simplifying x = 0
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