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Simplifying 35(2x + 12) = 7(x + -4) + 3x Reorder the terms: 35(12 + 2x) = 7(x + -4) + 3x (12 * 35 + 2x * 35) = 7(x + -4) + 3x (420 + 70x) = 7(x + -4) + 3x Reorder the terms: 420 + 70x = 7(-4 + x) + 3x 420 + 70x = (-4 * 7 + x * 7) + 3x 420 + 70x = (-28 + 7x) + 3x Combine like terms: 7x + 3x = 10x 420 + 70x = -28 + 10x Solving 420 + 70x = -28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 420 + 70x + -10x = -28 + 10x + -10x Combine like terms: 70x + -10x = 60x 420 + 60x = -28 + 10x + -10x Combine like terms: 10x + -10x = 0 420 + 60x = -28 + 0 420 + 60x = -28 Add '-420' to each side of the equation. 420 + -420 + 60x = -28 + -420 Combine like terms: 420 + -420 = 0 0 + 60x = -28 + -420 60x = -28 + -420 Combine like terms: -28 + -420 = -448 60x = -448 Divide each side by '60'. x = -7.466666667 Simplifying x = -7.466666667
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