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Simplifying 9(x + -4) + 8 = 6x + 7 Reorder the terms: 9(-4 + x) + 8 = 6x + 7 (-4 * 9 + x * 9) + 8 = 6x + 7 (-36 + 9x) + 8 = 6x + 7 Reorder the terms: -36 + 8 + 9x = 6x + 7 Combine like terms: -36 + 8 = -28 -28 + 9x = 6x + 7 Reorder the terms: -28 + 9x = 7 + 6x Solving -28 + 9x = 7 + 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. -28 + 9x + -6x = 7 + 6x + -6x Combine like terms: 9x + -6x = 3x -28 + 3x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 3x = 7 + 0 -28 + 3x = 7 Add '28' to each side of the equation. -28 + 28 + 3x = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = 7 + 28 3x = 7 + 28 Combine like terms: 7 + 28 = 35 3x = 35 Divide each side by '3'. x = 11.66666667 Simplifying x = 11.66666667
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