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Simplifying 3x + 7(-3x + -10) = -178 Reorder the terms: 3x + 7(-10 + -3x) = -178 3x + (-10 * 7 + -3x * 7) = -178 3x + (-70 + -21x) = -178 Reorder the terms: -70 + 3x + -21x = -178 Combine like terms: 3x + -21x = -18x -70 + -18x = -178 Solving -70 + -18x = -178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -18x = -178 + 70 Combine like terms: -70 + 70 = 0 0 + -18x = -178 + 70 -18x = -178 + 70 Combine like terms: -178 + 70 = -108 -18x = -108 Divide each side by '-18'. x = 6 Simplifying x = 6
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