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Simplifying 6 + -1(3x + -6) = 7x + -9 Reorder the terms: 6 + -1(-6 + 3x) = 7x + -9 6 + (-6 * -1 + 3x * -1) = 7x + -9 6 + (6 + -3x) = 7x + -9 Combine like terms: 6 + 6 = 12 12 + -3x = 7x + -9 Reorder the terms: 12 + -3x = -9 + 7x Solving 12 + -3x = -9 + 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. 12 + -3x + -7x = -9 + 7x + -7x Combine like terms: -3x + -7x = -10x 12 + -10x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -10x = -9 + 0 12 + -10x = -9 Add '-12' to each side of the equation. 12 + -12 + -10x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -9 + -12 -10x = -9 + -12 Combine like terms: -9 + -12 = -21 -10x = -21 Divide each side by '-10'. x = 2.1 Simplifying x = 2.1
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