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Simplifying 9x + -4 = 6(x + 1) + -2 Reorder the terms: -4 + 9x = 6(x + 1) + -2 Reorder the terms: -4 + 9x = 6(1 + x) + -2 -4 + 9x = (1 * 6 + x * 6) + -2 -4 + 9x = (6 + 6x) + -2 Reorder the terms: -4 + 9x = 6 + -2 + 6x Combine like terms: 6 + -2 = 4 -4 + 9x = 4 + 6x Solving -4 + 9x = 4 + 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. -4 + 9x + -6x = 4 + 6x + -6x Combine like terms: 9x + -6x = 3x -4 + 3x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4 Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4 Combine like terms: 4 + 4 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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