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Simplifying 6(4x + -8) + -8 = 6(x + -2) + 64 Reorder the terms: 6(-8 + 4x) + -8 = 6(x + -2) + 64 (-8 * 6 + 4x * 6) + -8 = 6(x + -2) + 64 (-48 + 24x) + -8 = 6(x + -2) + 64 Reorder the terms: -48 + -8 + 24x = 6(x + -2) + 64 Combine like terms: -48 + -8 = -56 -56 + 24x = 6(x + -2) + 64 Reorder the terms: -56 + 24x = 6(-2 + x) + 64 -56 + 24x = (-2 * 6 + x * 6) + 64 -56 + 24x = (-12 + 6x) + 64 Reorder the terms: -56 + 24x = -12 + 64 + 6x Combine like terms: -12 + 64 = 52 -56 + 24x = 52 + 6x Solving -56 + 24x = 52 + 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. -56 + 24x + -6x = 52 + 6x + -6x Combine like terms: 24x + -6x = 18x -56 + 18x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + 18x = 52 + 0 -56 + 18x = 52 Add '56' to each side of the equation. -56 + 56 + 18x = 52 + 56 Combine like terms: -56 + 56 = 0 0 + 18x = 52 + 56 18x = 52 + 56 Combine like terms: 52 + 56 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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