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Simplifying 5x + 7 + -3(x + 1) = 9x + 6 Reorder the terms: 5x + 7 + -3(1 + x) = 9x + 6 5x + 7 + (1 * -3 + x * -3) = 9x + 6 5x + 7 + (-3 + -3x) = 9x + 6 Reorder the terms: 7 + -3 + 5x + -3x = 9x + 6 Combine like terms: 7 + -3 = 4 4 + 5x + -3x = 9x + 6 Combine like terms: 5x + -3x = 2x 4 + 2x = 9x + 6 Reorder the terms: 4 + 2x = 6 + 9x Solving 4 + 2x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 2x + -9x = 6 + 9x + -9x Combine like terms: 2x + -9x = -7x 4 + -7x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -7x = 6 + 0 4 + -7x = 6 Add '-4' to each side of the equation. 4 + -4 + -7x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 6 + -4 -7x = 6 + -4 Combine like terms: 6 + -4 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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