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Simplifying 7x + -6 = 2(15 + -1x) Reorder the terms: -6 + 7x = 2(15 + -1x) -6 + 7x = (15 * 2 + -1x * 2) -6 + 7x = (30 + -2x) Solving -6 + 7x = 30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 7x + 2x = 30 + -2x + 2x Combine like terms: 7x + 2x = 9x -6 + 9x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 9x = 30 + 0 -6 + 9x = 30 Add '6' to each side of the equation. -6 + 6 + 9x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 30 + 6 9x = 30 + 6 Combine like terms: 30 + 6 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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