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Simplifying 6(4x + -8) + -2 = 6(x + -4) + 82 Reorder the terms: 6(-8 + 4x) + -2 = 6(x + -4) + 82 (-8 * 6 + 4x * 6) + -2 = 6(x + -4) + 82 (-48 + 24x) + -2 = 6(x + -4) + 82 Reorder the terms: -48 + -2 + 24x = 6(x + -4) + 82 Combine like terms: -48 + -2 = -50 -50 + 24x = 6(x + -4) + 82 Reorder the terms: -50 + 24x = 6(-4 + x) + 82 -50 + 24x = (-4 * 6 + x * 6) + 82 -50 + 24x = (-24 + 6x) + 82 Reorder the terms: -50 + 24x = -24 + 82 + 6x Combine like terms: -24 + 82 = 58 -50 + 24x = 58 + 6x Solving -50 + 24x = 58 + 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. -50 + 24x + -6x = 58 + 6x + -6x Combine like terms: 24x + -6x = 18x -50 + 18x = 58 + 6x + -6x Combine like terms: 6x + -6x = 0 -50 + 18x = 58 + 0 -50 + 18x = 58 Add '50' to each side of the equation. -50 + 50 + 18x = 58 + 50 Combine like terms: -50 + 50 = 0 0 + 18x = 58 + 50 18x = 58 + 50 Combine like terms: 58 + 50 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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