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Simplifying 7(25 + -2x) = 2(3x + -25) (25 * 7 + -2x * 7) = 2(3x + -25) (175 + -14x) = 2(3x + -25) Reorder the terms: 175 + -14x = 2(-25 + 3x) 175 + -14x = (-25 * 2 + 3x * 2) 175 + -14x = (-50 + 6x) Solving 175 + -14x = -50 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 175 + -14x + -6x = -50 + 6x + -6x Combine like terms: -14x + -6x = -20x 175 + -20x = -50 + 6x + -6x Combine like terms: 6x + -6x = 0 175 + -20x = -50 + 0 175 + -20x = -50 Add '-175' to each side of the equation. 175 + -175 + -20x = -50 + -175 Combine like terms: 175 + -175 = 0 0 + -20x = -50 + -175 -20x = -50 + -175 Combine like terms: -50 + -175 = -225 -20x = -225 Divide each side by '-20'. x = 11.25 Simplifying x = 11.25
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