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Simplifying 5x + 9 + -2(x + 1) = 6x + 9 Reorder the terms: 5x + 9 + -2(1 + x) = 6x + 9 5x + 9 + (1 * -2 + x * -2) = 6x + 9 5x + 9 + (-2 + -2x) = 6x + 9 Reorder the terms: 9 + -2 + 5x + -2x = 6x + 9 Combine like terms: 9 + -2 = 7 7 + 5x + -2x = 6x + 9 Combine like terms: 5x + -2x = 3x 7 + 3x = 6x + 9 Reorder the terms: 7 + 3x = 9 + 6x Solving 7 + 3x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 3x + -6x = 9 + 6x + -6x Combine like terms: 3x + -6x = -3x 7 + -3x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -3x = 9 + 0 7 + -3x = 9 Add '-7' to each side of the equation. 7 + -7 + -3x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 9 + -7 -3x = 9 + -7 Combine like terms: 9 + -7 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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