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Simplifying 5 + 6(x + -8) = 8 + -9(x + -6) Reorder the terms: 5 + 6(-8 + x) = 8 + -9(x + -6) 5 + (-8 * 6 + x * 6) = 8 + -9(x + -6) 5 + (-48 + 6x) = 8 + -9(x + -6) Combine like terms: 5 + -48 = -43 -43 + 6x = 8 + -9(x + -6) Reorder the terms: -43 + 6x = 8 + -9(-6 + x) -43 + 6x = 8 + (-6 * -9 + x * -9) -43 + 6x = 8 + (54 + -9x) Combine like terms: 8 + 54 = 62 -43 + 6x = 62 + -9x Solving -43 + 6x = 62 + -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 = 62 + -9x + 9x Combine like terms: 6x + 9x = 15x -43 + 15x = 62 + -9x + 9x Combine like terms: -9x + 9x = 0 -43 + 15x = 62 + 0 -43 + 15x = 62 Add '43' to each side of the equation. -43 + 43 + 15x = 62 + 43 Combine like terms: -43 + 43 = 0 0 + 15x = 62 + 43 15x = 62 + 43 Combine like terms: 62 + 43 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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