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Simplifying 4x + 9 + -6(x + 1) = 7x + 8 Reorder the terms: 4x + 9 + -6(1 + x) = 7x + 8 4x + 9 + (1 * -6 + x * -6) = 7x + 8 4x + 9 + (-6 + -6x) = 7x + 8 Reorder the terms: 9 + -6 + 4x + -6x = 7x + 8 Combine like terms: 9 + -6 = 3 3 + 4x + -6x = 7x + 8 Combine like terms: 4x + -6x = -2x 3 + -2x = 7x + 8 Reorder the terms: 3 + -2x = 8 + 7x Solving 3 + -2x = 8 + 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. 3 + -2x + -7x = 8 + 7x + -7x Combine like terms: -2x + -7x = -9x 3 + -9x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -9x = 8 + 0 3 + -9x = 8 Add '-3' to each side of the equation. 3 + -3 + -9x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 8 + -3 -9x = 8 + -3 Combine like terms: 8 + -3 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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