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Simplifying -9(x + 4) + 4x + 7 = 8x + 11 Reorder the terms: -9(4 + x) + 4x + 7 = 8x + 11 (4 * -9 + x * -9) + 4x + 7 = 8x + 11 (-36 + -9x) + 4x + 7 = 8x + 11 Reorder the terms: -36 + 7 + -9x + 4x = 8x + 11 Combine like terms: -36 + 7 = -29 -29 + -9x + 4x = 8x + 11 Combine like terms: -9x + 4x = -5x -29 + -5x = 8x + 11 Reorder the terms: -29 + -5x = 11 + 8x Solving -29 + -5x = 11 + 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 + -5x + -8x = 11 + 8x + -8x Combine like terms: -5x + -8x = -13x -29 + -13x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -29 + -13x = 11 + 0 -29 + -13x = 11 Add '29' to each side of the equation. -29 + 29 + -13x = 11 + 29 Combine like terms: -29 + 29 = 0 0 + -13x = 11 + 29 -13x = 11 + 29 Combine like terms: 11 + 29 = 40 -13x = 40 Divide each side by '-13'. x = -3.076923077 Simplifying x = -3.076923077
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