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Simplifying 6x + 9 = 5 + -1(4x + -7) Reorder the terms: 9 + 6x = 5 + -1(4x + -7) Reorder the terms: 9 + 6x = 5 + -1(-7 + 4x) 9 + 6x = 5 + (-7 * -1 + 4x * -1) 9 + 6x = 5 + (7 + -4x) Combine like terms: 5 + 7 = 12 9 + 6x = 12 + -4x Solving 9 + 6x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 6x + 4x = 12 + -4x + 4x Combine like terms: 6x + 4x = 10x 9 + 10x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 10x = 12 + 0 9 + 10x = 12 Add '-9' to each side of the equation. 9 + -9 + 10x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 12 + -9 10x = 12 + -9 Combine like terms: 12 + -9 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3
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