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Simplifying 3(6x + -8) = 1 + 3(8x + -3) Reorder the terms: 3(-8 + 6x) = 1 + 3(8x + -3) (-8 * 3 + 6x * 3) = 1 + 3(8x + -3) (-24 + 18x) = 1 + 3(8x + -3) Reorder the terms: -24 + 18x = 1 + 3(-3 + 8x) -24 + 18x = 1 + (-3 * 3 + 8x * 3) -24 + 18x = 1 + (-9 + 24x) Combine like terms: 1 + -9 = -8 -24 + 18x = -8 + 24x Solving -24 + 18x = -8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24 + 18x + -24x = -8 + 24x + -24x Combine like terms: 18x + -24x = -6x -24 + -6x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 -24 + -6x = -8 + 0 -24 + -6x = -8 Add '24' to each side of the equation. -24 + 24 + -6x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = -8 + 24 -6x = -8 + 24 Combine like terms: -8 + 24 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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