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Simplifying X(7 + -1) + 14 + -3x = 4(x + 5) Combine like terms: 7 + -1 = 6 X(6) + 14 + -3x = 4(x + 5) Reorder the terms for easier multiplication: 6X + 14 + -3x = 4(x + 5) Reorder the terms: 14 + 6X + -3x = 4(x + 5) Reorder the terms: 14 + 6X + -3x = 4(5 + x) 14 + 6X + -3x = (5 * 4 + x * 4) 14 + 6X + -3x = (20 + 4x) Solving 14 + 6X + -3x = 20 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 6X + -14 + -3x = 20 + -14 + 4x Reorder the terms: 14 + -14 + 6X + -3x = 20 + -14 + 4x Combine like terms: 14 + -14 = 0 0 + 6X + -3x = 20 + -14 + 4x 6X + -3x = 20 + -14 + 4x Combine like terms: 20 + -14 = 6 6X + -3x = 6 + 4x Add '3x' to each side of the equation. 6X + -3x + 3x = 6 + 4x + 3x Combine like terms: -3x + 3x = 0 6X + 0 = 6 + 4x + 3x 6X = 6 + 4x + 3x Combine like terms: 4x + 3x = 7x 6X = 6 + 7x Divide each side by '6'. X = 1 + 1.166666667x Simplifying X = 1 + 1.166666667x
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