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Simplifying 6(4x + -8) + -4 = 6(x + -4) + 80 Reorder the terms: 6(-8 + 4x) + -4 = 6(x + -4) + 80 (-8 * 6 + 4x * 6) + -4 = 6(x + -4) + 80 (-48 + 24x) + -4 = 6(x + -4) + 80 Reorder the terms: -48 + -4 + 24x = 6(x + -4) + 80 Combine like terms: -48 + -4 = -52 -52 + 24x = 6(x + -4) + 80 Reorder the terms: -52 + 24x = 6(-4 + x) + 80 -52 + 24x = (-4 * 6 + x * 6) + 80 -52 + 24x = (-24 + 6x) + 80 Reorder the terms: -52 + 24x = -24 + 80 + 6x Combine like terms: -24 + 80 = 56 -52 + 24x = 56 + 6x Solving -52 + 24x = 56 + 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 + 24x + -6x = 56 + 6x + -6x Combine like terms: 24x + -6x = 18x -52 + 18x = 56 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + 18x = 56 + 0 -52 + 18x = 56 Add '52' to each side of the equation. -52 + 52 + 18x = 56 + 52 Combine like terms: -52 + 52 = 0 0 + 18x = 56 + 52 18x = 56 + 52 Combine like terms: 56 + 52 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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