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Simplifying 74 = -7x + 5(5x + -14) Reorder the terms: 74 = -7x + 5(-14 + 5x) 74 = -7x + (-14 * 5 + 5x * 5) 74 = -7x + (-70 + 25x) Reorder the terms: 74 = -70 + -7x + 25x Combine like terms: -7x + 25x = 18x 74 = -70 + 18x Solving 74 = -70 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 74 + -18x = -70 + 18x + -18x Combine like terms: 18x + -18x = 0 74 + -18x = -70 + 0 74 + -18x = -70 Add '-74' to each side of the equation. 74 + -74 + -18x = -70 + -74 Combine like terms: 74 + -74 = 0 0 + -18x = -70 + -74 -18x = -70 + -74 Combine like terms: -70 + -74 = -144 -18x = -144 Divide each side by '-18'. x = 8 Simplifying x = 8
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