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Simplifying 174 = 2(4x) + 2(5x + -3) Remove parenthesis around (4x) 174 = 2 * 4x + 2(5x + -3) Multiply 2 * 4 174 = 8x + 2(5x + -3) Reorder the terms: 174 = 8x + 2(-3 + 5x) 174 = 8x + (-3 * 2 + 5x * 2) 174 = 8x + (-6 + 10x) Reorder the terms: 174 = -6 + 8x + 10x Combine like terms: 8x + 10x = 18x 174 = -6 + 18x Solving 174 = -6 + 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. 174 + -18x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 174 + -18x = -6 + 0 174 + -18x = -6 Add '-174' to each side of the equation. 174 + -174 + -18x = -6 + -174 Combine like terms: 174 + -174 = 0 0 + -18x = -6 + -174 -18x = -6 + -174 Combine like terms: -6 + -174 = -180 -18x = -180 Divide each side by '-18'. x = 10 Simplifying x = 10
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