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Simplifying 2(25 + -5x) = -7(-12 + -1x) (25 * 2 + -5x * 2) = -7(-12 + -1x) (50 + -10x) = -7(-12 + -1x) 50 + -10x = (-12 * -7 + -1x * -7) 50 + -10x = (84 + 7x) Solving 50 + -10x = 84 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 50 + -10x + -7x = 84 + 7x + -7x Combine like terms: -10x + -7x = -17x 50 + -17x = 84 + 7x + -7x Combine like terms: 7x + -7x = 0 50 + -17x = 84 + 0 50 + -17x = 84 Add '-50' to each side of the equation. 50 + -50 + -17x = 84 + -50 Combine like terms: 50 + -50 = 0 0 + -17x = 84 + -50 -17x = 84 + -50 Combine like terms: 84 + -50 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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