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Simplifying 6(x + -8) + 27 = 3(x + -5) Reorder the terms: 6(-8 + x) + 27 = 3(x + -5) (-8 * 6 + x * 6) + 27 = 3(x + -5) (-48 + 6x) + 27 = 3(x + -5) Reorder the terms: -48 + 27 + 6x = 3(x + -5) Combine like terms: -48 + 27 = -21 -21 + 6x = 3(x + -5) Reorder the terms: -21 + 6x = 3(-5 + x) -21 + 6x = (-5 * 3 + x * 3) -21 + 6x = (-15 + 3x) Solving -21 + 6x = -15 + 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. -21 + 6x + -3x = -15 + 3x + -3x Combine like terms: 6x + -3x = 3x -21 + 3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 3x = -15 + 0 -21 + 3x = -15 Add '21' to each side of the equation. -21 + 21 + 3x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = -15 + 21 3x = -15 + 21 Combine like terms: -15 + 21 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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