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Simplifying 5(2x + -3) = 6x + 14 Reorder the terms: 5(-3 + 2x) = 6x + 14 (-3 * 5 + 2x * 5) = 6x + 14 (-15 + 10x) = 6x + 14 Reorder the terms: -15 + 10x = 14 + 6x Solving -15 + 10x = 14 + 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. -15 + 10x + -6x = 14 + 6x + -6x Combine like terms: 10x + -6x = 4x -15 + 4x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 4x = 14 + 0 -15 + 4x = 14 Add '15' to each side of the equation. -15 + 15 + 4x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 14 + 15 4x = 14 + 15 Combine like terms: 14 + 15 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25
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