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Simplifying 174 = -3x + -3(5x + -4) Reorder the terms: 174 = -3x + -3(-4 + 5x) 174 = -3x + (-4 * -3 + 5x * -3) 174 = -3x + (12 + -15x) Reorder the terms: 174 = 12 + -3x + -15x Combine like terms: -3x + -15x = -18x 174 = 12 + -18x Solving 174 = 12 + -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 = 12 + -18x + 18x Combine like terms: -18x + 18x = 0 174 + 18x = 12 + 0 174 + 18x = 12 Add '-174' to each side of the equation. 174 + -174 + 18x = 12 + -174 Combine like terms: 174 + -174 = 0 0 + 18x = 12 + -174 18x = 12 + -174 Combine like terms: 12 + -174 = -162 18x = -162 Divide each side by '18'. x = -9 Simplifying x = -9
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