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Simplifying 7x + 6 = 10x + -30 Reorder the terms: 6 + 7x = 10x + -30 Reorder the terms: 6 + 7x = -30 + 10x Solving 6 + 7x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 7x + -10x = -30 + 10x + -10x Combine like terms: 7x + -10x = -3x 6 + -3x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -3x = -30 + 0 6 + -3x = -30 Add '-6' to each side of the equation. 6 + -6 + -3x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -30 + -6 -3x = -30 + -6 Combine like terms: -30 + -6 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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