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Simplifying 5(x + -6) + 7x = 7x + -10 Reorder the terms: 5(-6 + x) + 7x = 7x + -10 (-6 * 5 + x * 5) + 7x = 7x + -10 (-30 + 5x) + 7x = 7x + -10 Combine like terms: 5x + 7x = 12x -30 + 12x = 7x + -10 Reorder the terms: -30 + 12x = -10 + 7x Solving -30 + 12x = -10 + 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 = -10 + 7x + -7x Combine like terms: 12x + -7x = 5x -30 + 5x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 5x = -10 + 0 -30 + 5x = -10 Add '30' to each side of the equation. -30 + 30 + 5x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -10 + 30 5x = -10 + 30 Combine like terms: -10 + 30 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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