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Simplifying 5 + -6(x + 8) = 9(x + -7) Reorder the terms: 5 + -6(8 + x) = 9(x + -7) 5 + (8 * -6 + x * -6) = 9(x + -7) 5 + (-48 + -6x) = 9(x + -7) Combine like terms: 5 + -48 = -43 -43 + -6x = 9(x + -7) Reorder the terms: -43 + -6x = 9(-7 + x) -43 + -6x = (-7 * 9 + x * 9) -43 + -6x = (-63 + 9x) Solving -43 + -6x = -63 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -43 + -6x + -9x = -63 + 9x + -9x Combine like terms: -6x + -9x = -15x -43 + -15x = -63 + 9x + -9x Combine like terms: 9x + -9x = 0 -43 + -15x = -63 + 0 -43 + -15x = -63 Add '43' to each side of the equation. -43 + 43 + -15x = -63 + 43 Combine like terms: -43 + 43 = 0 0 + -15x = -63 + 43 -15x = -63 + 43 Combine like terms: -63 + 43 = -20 -15x = -20 Divide each side by '-15'. x = 1.333333333 Simplifying x = 1.333333333
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