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Simplifying 7(2X + 2) + -1(10 + -3x) = 0 Reorder the terms: 7(2 + 2X) + -1(10 + -3x) = 0 (2 * 7 + 2X * 7) + -1(10 + -3x) = 0 (14 + 14X) + -1(10 + -3x) = 0 14 + 14X + (10 * -1 + -3x * -1) = 0 14 + 14X + (-10 + 3x) = 0 Reorder the terms: 14 + -10 + 14X + 3x = 0 Combine like terms: 14 + -10 = 4 4 + 14X + 3x = 0 Solving 4 + 14X + 3x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 14X + -4 + 3x = 0 + -4 Reorder the terms: 4 + -4 + 14X + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 14X + 3x = 0 + -4 14X + 3x = 0 + -4 Combine like terms: 0 + -4 = -4 14X + 3x = -4 Add '-3x' to each side of the equation. 14X + 3x + -3x = -4 + -3x Combine like terms: 3x + -3x = 0 14X + 0 = -4 + -3x 14X = -4 + -3x Divide each side by '14'. X = -0.2857142857 + -0.2142857143x Simplifying X = -0.2857142857 + -0.2142857143x
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