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Simplifying 5(2x + -14) + 23 = 7x + 14 Reorder the terms: 5(-14 + 2x) + 23 = 7x + 14 (-14 * 5 + 2x * 5) + 23 = 7x + 14 (-70 + 10x) + 23 = 7x + 14 Reorder the terms: -70 + 23 + 10x = 7x + 14 Combine like terms: -70 + 23 = -47 -47 + 10x = 7x + 14 Reorder the terms: -47 + 10x = 14 + 7x Solving -47 + 10x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -47 + 10x + -7x = 14 + 7x + -7x Combine like terms: 10x + -7x = 3x -47 + 3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -47 + 3x = 14 + 0 -47 + 3x = 14 Add '47' to each side of the equation. -47 + 47 + 3x = 14 + 47 Combine like terms: -47 + 47 = 0 0 + 3x = 14 + 47 3x = 14 + 47 Combine like terms: 14 + 47 = 61 3x = 61 Divide each side by '3'. x = 20.33333333 Simplifying x = 20.33333333
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