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Simplifying 5(2x + -6) = 6x + -7x + 14 Reorder the terms: 5(-6 + 2x) = 6x + -7x + 14 (-6 * 5 + 2x * 5) = 6x + -7x + 14 (-30 + 10x) = 6x + -7x + 14 Reorder the terms: -30 + 10x = 14 + 6x + -7x Combine like terms: 6x + -7x = -1x -30 + 10x = 14 + -1x Solving -30 + 10x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -30 + 10x + x = 14 + -1x + x Combine like terms: 10x + x = 11x -30 + 11x = 14 + -1x + x Combine like terms: -1x + x = 0 -30 + 11x = 14 + 0 -30 + 11x = 14 Add '30' to each side of the equation. -30 + 30 + 11x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 14 + 30 11x = 14 + 30 Combine like terms: 14 + 30 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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