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Simplifying 3x + 3(5x + -8) = 14x + -14 Reorder the terms: 3x + 3(-8 + 5x) = 14x + -14 3x + (-8 * 3 + 5x * 3) = 14x + -14 3x + (-24 + 15x) = 14x + -14 Reorder the terms: -24 + 3x + 15x = 14x + -14 Combine like terms: 3x + 15x = 18x -24 + 18x = 14x + -14 Reorder the terms: -24 + 18x = -14 + 14x Solving -24 + 18x = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -24 + 18x + -14x = -14 + 14x + -14x Combine like terms: 18x + -14x = 4x -24 + 4x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 -24 + 4x = -14 + 0 -24 + 4x = -14 Add '24' to each side of the equation. -24 + 24 + 4x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -14 + 24 4x = -14 + 24 Combine like terms: -14 + 24 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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