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Simplifying 6 + -1(3x + 5) = 7x + -9 Reorder the terms: 6 + -1(5 + 3x) = 7x + -9 6 + (5 * -1 + 3x * -1) = 7x + -9 6 + (-5 + -3x) = 7x + -9 Combine like terms: 6 + -5 = 1 1 + -3x = 7x + -9 Reorder the terms: 1 + -3x = -9 + 7x Solving 1 + -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. 1 + -3x + -7x = -9 + 7x + -7x Combine like terms: -3x + -7x = -10x 1 + -10x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -10x = -9 + 0 1 + -10x = -9 Add '-1' to each side of the equation. 1 + -1 + -10x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = -9 + -1 -10x = -9 + -1 Combine like terms: -9 + -1 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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