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Simplifying -9(x + 1) + (4x + -7) = 6(x + -6) + 8 Reorder the terms: -9(1 + x) + (4x + -7) = 6(x + -6) + 8 (1 * -9 + x * -9) + (4x + -7) = 6(x + -6) + 8 (-9 + -9x) + (4x + -7) = 6(x + -6) + 8 Reorder the terms: -9 + -9x + (-7 + 4x) = 6(x + -6) + 8 Remove parenthesis around (-7 + 4x) -9 + -9x + -7 + 4x = 6(x + -6) + 8 Reorder the terms: -9 + -7 + -9x + 4x = 6(x + -6) + 8 Combine like terms: -9 + -7 = -16 -16 + -9x + 4x = 6(x + -6) + 8 Combine like terms: -9x + 4x = -5x -16 + -5x = 6(x + -6) + 8 Reorder the terms: -16 + -5x = 6(-6 + x) + 8 -16 + -5x = (-6 * 6 + x * 6) + 8 -16 + -5x = (-36 + 6x) + 8 Reorder the terms: -16 + -5x = -36 + 8 + 6x Combine like terms: -36 + 8 = -28 -16 + -5x = -28 + 6x Solving -16 + -5x = -28 + 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. -16 + -5x + -6x = -28 + 6x + -6x Combine like terms: -5x + -6x = -11x -16 + -11x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -11x = -28 + 0 -16 + -11x = -28 Add '16' to each side of the equation. -16 + 16 + -11x = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -11x = -28 + 16 -11x = -28 + 16 Combine like terms: -28 + 16 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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