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Simplifying -3(3x + -42) = 2(7x + -52) Reorder the terms: -3(-42 + 3x) = 2(7x + -52) (-42 * -3 + 3x * -3) = 2(7x + -52) (126 + -9x) = 2(7x + -52) Reorder the terms: 126 + -9x = 2(-52 + 7x) 126 + -9x = (-52 * 2 + 7x * 2) 126 + -9x = (-104 + 14x) Solving 126 + -9x = -104 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 126 + -9x + -14x = -104 + 14x + -14x Combine like terms: -9x + -14x = -23x 126 + -23x = -104 + 14x + -14x Combine like terms: 14x + -14x = 0 126 + -23x = -104 + 0 126 + -23x = -104 Add '-126' to each side of the equation. 126 + -126 + -23x = -104 + -126 Combine like terms: 126 + -126 = 0 0 + -23x = -104 + -126 -23x = -104 + -126 Combine like terms: -104 + -126 = -230 -23x = -230 Divide each side by '-23'. x = 10 Simplifying x = 10
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