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Simplifying 6(4x + -8) = 6(x + -2) + 87 Reorder the terms: 6(-8 + 4x) = 6(x + -2) + 87 (-8 * 6 + 4x * 6) = 6(x + -2) + 87 (-48 + 24x) = 6(x + -2) + 87 Reorder the terms: -48 + 24x = 6(-2 + x) + 87 -48 + 24x = (-2 * 6 + x * 6) + 87 -48 + 24x = (-12 + 6x) + 87 Reorder the terms: -48 + 24x = -12 + 87 + 6x Combine like terms: -12 + 87 = 75 -48 + 24x = 75 + 6x Solving -48 + 24x = 75 + 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. -48 + 24x + -6x = 75 + 6x + -6x Combine like terms: 24x + -6x = 18x -48 + 18x = 75 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 18x = 75 + 0 -48 + 18x = 75 Add '48' to each side of the equation. -48 + 48 + 18x = 75 + 48 Combine like terms: -48 + 48 = 0 0 + 18x = 75 + 48 18x = 75 + 48 Combine like terms: 75 + 48 = 123 18x = 123 Divide each side by '18'. x = 6.833333333 Simplifying x = 6.833333333
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