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Simplifying 4x + 6 + -2(x + 1) = 8x + 9 Reorder the terms: 4x + 6 + -2(1 + x) = 8x + 9 4x + 6 + (1 * -2 + x * -2) = 8x + 9 4x + 6 + (-2 + -2x) = 8x + 9 Reorder the terms: 6 + -2 + 4x + -2x = 8x + 9 Combine like terms: 6 + -2 = 4 4 + 4x + -2x = 8x + 9 Combine like terms: 4x + -2x = 2x 4 + 2x = 8x + 9 Reorder the terms: 4 + 2x = 9 + 8x Solving 4 + 2x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 2x + -8x = 9 + 8x + -8x Combine like terms: 2x + -8x = -6x 4 + -6x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -6x = 9 + 0 4 + -6x = 9 Add '-4' to each side of the equation. 4 + -4 + -6x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 9 + -4 -6x = 9 + -4 Combine like terms: 9 + -4 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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