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Simplifying 6x + 9 = 7 + -1(2x + -4) Reorder the terms: 9 + 6x = 7 + -1(2x + -4) Reorder the terms: 9 + 6x = 7 + -1(-4 + 2x) 9 + 6x = 7 + (-4 * -1 + 2x * -1) 9 + 6x = 7 + (4 + -2x) Combine like terms: 7 + 4 = 11 9 + 6x = 11 + -2x Solving 9 + 6x = 11 + -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. 9 + 6x + 2x = 11 + -2x + 2x Combine like terms: 6x + 2x = 8x 9 + 8x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 8x = 11 + 0 9 + 8x = 11 Add '-9' to each side of the equation. 9 + -9 + 8x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 11 + -9 8x = 11 + -9 Combine like terms: 11 + -9 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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