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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 = 10 10 + 5x + -3x = 9x + 6 Combine like terms: 5x + -3x = 2x 10 + 2x = 9x + 6 Reorder the terms: 10 + 2x = 6 + 9x Solving 10 + 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. 10 + 2x + -9x = 6 + 9x + -9x Combine like terms: 2x + -9x = -7x 10 + -7x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -7x = 6 + 0 10 + -7x = 6 Add '-10' to each side of the equation. 10 + -10 + -7x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 6 + -10 -7x = 6 + -10 Combine like terms: 6 + -10 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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