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Simplifying -9(x + 4) + 2x + 7 = 8x + 8 Reorder the terms: -9(4 + x) + 2x + 7 = 8x + 8 (4 * -9 + x * -9) + 2x + 7 = 8x + 8 (-36 + -9x) + 2x + 7 = 8x + 8 Reorder the terms: -36 + 7 + -9x + 2x = 8x + 8 Combine like terms: -36 + 7 = -29 -29 + -9x + 2x = 8x + 8 Combine like terms: -9x + 2x = -7x -29 + -7x = 8x + 8 Reorder the terms: -29 + -7x = 8 + 8x Solving -29 + -7x = 8 + 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. -29 + -7x + -8x = 8 + 8x + -8x Combine like terms: -7x + -8x = -15x -29 + -15x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -29 + -15x = 8 + 0 -29 + -15x = 8 Add '29' to each side of the equation. -29 + 29 + -15x = 8 + 29 Combine like terms: -29 + 29 = 0 0 + -15x = 8 + 29 -15x = 8 + 29 Combine like terms: 8 + 29 = 37 -15x = 37 Divide each side by '-15'. x = -2.466666667 Simplifying x = -2.466666667
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