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Simplifying -6 = 7x + 2(-2x + 15) Reorder the terms: -6 = 7x + 2(15 + -2x) -6 = 7x + (15 * 2 + -2x * 2) -6 = 7x + (30 + -4x) Reorder the terms: -6 = 30 + 7x + -4x Combine like terms: 7x + -4x = 3x -6 = 30 + 3x Solving -6 = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -3x = 30 + 3x + -3x Combine like terms: 3x + -3x = 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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