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Simplifying 5(10x + -1) + 7 = 35x + -4(5x + 3) Reorder the terms: 5(-1 + 10x) + 7 = 35x + -4(5x + 3) (-1 * 5 + 10x * 5) + 7 = 35x + -4(5x + 3) (-5 + 50x) + 7 = 35x + -4(5x + 3) Reorder the terms: -5 + 7 + 50x = 35x + -4(5x + 3) Combine like terms: -5 + 7 = 2 2 + 50x = 35x + -4(5x + 3) Reorder the terms: 2 + 50x = 35x + -4(3 + 5x) 2 + 50x = 35x + (3 * -4 + 5x * -4) 2 + 50x = 35x + (-12 + -20x) Reorder the terms: 2 + 50x = -12 + 35x + -20x Combine like terms: 35x + -20x = 15x 2 + 50x = -12 + 15x Solving 2 + 50x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + 50x + -15x = -12 + 15x + -15x Combine like terms: 50x + -15x = 35x 2 + 35x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + 35x = -12 + 0 2 + 35x = -12 Add '-2' to each side of the equation. 2 + -2 + 35x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 35x = -12 + -2 35x = -12 + -2 Combine like terms: -12 + -2 = -14 35x = -14 Divide each side by '35'. x = -0.4 Simplifying x = -0.4
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