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Simplifying -9(x + 4) + 3x + 6 = 8x + 7 Reorder the terms: -9(4 + x) + 3x + 6 = 8x + 7 (4 * -9 + x * -9) + 3x + 6 = 8x + 7 (-36 + -9x) + 3x + 6 = 8x + 7 Reorder the terms: -36 + 6 + -9x + 3x = 8x + 7 Combine like terms: -36 + 6 = -30 -30 + -9x + 3x = 8x + 7 Combine like terms: -9x + 3x = -6x -30 + -6x = 8x + 7 Reorder the terms: -30 + -6x = 7 + 8x Solving -30 + -6x = 7 + 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. -30 + -6x + -8x = 7 + 8x + -8x Combine like terms: -6x + -8x = -14x -30 + -14x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -14x = 7 + 0 -30 + -14x = 7 Add '30' to each side of the equation. -30 + 30 + -14x = 7 + 30 Combine like terms: -30 + 30 = 0 0 + -14x = 7 + 30 -14x = 7 + 30 Combine like terms: 7 + 30 = 37 -14x = 37 Divide each side by '-14'. x = -2.642857143 Simplifying x = -2.642857143
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