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Simplifying 6(3x + -5) + -6x = 7x Reorder the terms: 6(-5 + 3x) + -6x = 7x (-5 * 6 + 3x * 6) + -6x = 7x (-30 + 18x) + -6x = 7x Combine like terms: 18x + -6x = 12x -30 + 12x = 7x Solving -30 + 12x = 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. -30 + 12x + -7x = 7x + -7x Combine like terms: 12x + -7x = 5x -30 + 5x = 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 5x = 0 Add '30' to each side of the equation. -30 + 30 + 5x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 0 + 30 5x = 0 + 30 Combine like terms: 0 + 30 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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