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Simplifying 6(4x + -8) = 2(9x + 10) Reorder the terms: 6(-8 + 4x) = 2(9x + 10) (-8 * 6 + 4x * 6) = 2(9x + 10) (-48 + 24x) = 2(9x + 10) Reorder the terms: -48 + 24x = 2(10 + 9x) -48 + 24x = (10 * 2 + 9x * 2) -48 + 24x = (20 + 18x) Solving -48 + 24x = 20 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -48 + 24x + -18x = 20 + 18x + -18x Combine like terms: 24x + -18x = 6x -48 + 6x = 20 + 18x + -18x Combine like terms: 18x + -18x = 0 -48 + 6x = 20 + 0 -48 + 6x = 20 Add '48' to each side of the equation. -48 + 48 + 6x = 20 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = 20 + 48 6x = 20 + 48 Combine like terms: 20 + 48 = 68 6x = 68 Divide each side by '6'. x = 11.33333333 Simplifying x = 11.33333333
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