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Simplifying 6(x + -8) + 9 = 3(x + -7) Reorder the terms: 6(-8 + x) + 9 = 3(x + -7) (-8 * 6 + x * 6) + 9 = 3(x + -7) (-48 + 6x) + 9 = 3(x + -7) Reorder the terms: -48 + 9 + 6x = 3(x + -7) Combine like terms: -48 + 9 = -39 -39 + 6x = 3(x + -7) Reorder the terms: -39 + 6x = 3(-7 + x) -39 + 6x = (-7 * 3 + x * 3) -39 + 6x = (-21 + 3x) Solving -39 + 6x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -39 + 6x + -3x = -21 + 3x + -3x Combine like terms: 6x + -3x = 3x -39 + 3x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -39 + 3x = -21 + 0 -39 + 3x = -21 Add '39' to each side of the equation. -39 + 39 + 3x = -21 + 39 Combine like terms: -39 + 39 = 0 0 + 3x = -21 + 39 3x = -21 + 39 Combine like terms: -21 + 39 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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