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Simplifying 157 = (4x + 10) + (14x + 3) Reorder the terms: 157 = (10 + 4x) + (14x + 3) Remove parenthesis around (10 + 4x) 157 = 10 + 4x + (14x + 3) Reorder the terms: 157 = 10 + 4x + (3 + 14x) Remove parenthesis around (3 + 14x) 157 = 10 + 4x + 3 + 14x Reorder the terms: 157 = 10 + 3 + 4x + 14x Combine like terms: 10 + 3 = 13 157 = 13 + 4x + 14x Combine like terms: 4x + 14x = 18x 157 = 13 + 18x Solving 157 = 13 + 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. 157 + -18x = 13 + 18x + -18x Combine like terms: 18x + -18x = 0 157 + -18x = 13 + 0 157 + -18x = 13 Add '-157' to each side of the equation. 157 + -157 + -18x = 13 + -157 Combine like terms: 157 + -157 = 0 0 + -18x = 13 + -157 -18x = 13 + -157 Combine like terms: 13 + -157 = -144 -18x = -144 Divide each side by '-18'. x = 8 Simplifying x = 8
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