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Simplifying 7(-2x + 3) = -28(34 + -4x) Reorder the terms: 7(3 + -2x) = -28(34 + -4x) (3 * 7 + -2x * 7) = -28(34 + -4x) (21 + -14x) = -28(34 + -4x) 21 + -14x = (34 * -28 + -4x * -28) 21 + -14x = (-952 + 112x) Solving 21 + -14x = -952 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. 21 + -14x + -112x = -952 + 112x + -112x Combine like terms: -14x + -112x = -126x 21 + -126x = -952 + 112x + -112x Combine like terms: 112x + -112x = 0 21 + -126x = -952 + 0 21 + -126x = -952 Add '-21' to each side of the equation. 21 + -21 + -126x = -952 + -21 Combine like terms: 21 + -21 = 0 0 + -126x = -952 + -21 -126x = -952 + -21 Combine like terms: -952 + -21 = -973 -126x = -973 Divide each side by '-126'. x = 7.722222222 Simplifying x = 7.722222222
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