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Simplifying 6(3x + -8) + -4 = 6(x + -4) + 44 Reorder the terms: 6(-8 + 3x) + -4 = 6(x + -4) + 44 (-8 * 6 + 3x * 6) + -4 = 6(x + -4) + 44 (-48 + 18x) + -4 = 6(x + -4) + 44 Reorder the terms: -48 + -4 + 18x = 6(x + -4) + 44 Combine like terms: -48 + -4 = -52 -52 + 18x = 6(x + -4) + 44 Reorder the terms: -52 + 18x = 6(-4 + x) + 44 -52 + 18x = (-4 * 6 + x * 6) + 44 -52 + 18x = (-24 + 6x) + 44 Reorder the terms: -52 + 18x = -24 + 44 + 6x Combine like terms: -24 + 44 = 20 -52 + 18x = 20 + 6x Solving -52 + 18x = 20 + 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. -52 + 18x + -6x = 20 + 6x + -6x Combine like terms: 18x + -6x = 12x -52 + 12x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + 12x = 20 + 0 -52 + 12x = 20 Add '52' to each side of the equation. -52 + 52 + 12x = 20 + 52 Combine like terms: -52 + 52 = 0 0 + 12x = 20 + 52 12x = 20 + 52 Combine like terms: 20 + 52 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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