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Simplifying 5(2x + -14) + 23 = 7 + -14 Reorder the terms: 5(-14 + 2x) + 23 = 7 + -14 (-14 * 5 + 2x * 5) + 23 = 7 + -14 (-70 + 10x) + 23 = 7 + -14 Reorder the terms: -70 + 23 + 10x = 7 + -14 Combine like terms: -70 + 23 = -47 -47 + 10x = 7 + -14 Combine like terms: 7 + -14 = -7 -47 + 10x = -7 Solving -47 + 10x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 10x = -7 + 47 Combine like terms: -47 + 47 = 0 0 + 10x = -7 + 47 10x = -7 + 47 Combine like terms: -7 + 47 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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