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Simplifying 3X + 39 + -1(4x + 28) = 6x + -1(7 + -11) Reorder the terms: 3X + 39 + -1(28 + 4x) = 6x + -1(7 + -11) 3X + 39 + (28 * -1 + 4x * -1) = 6x + -1(7 + -11) 3X + 39 + (-28 + -4x) = 6x + -1(7 + -11) Reorder the terms: 39 + -28 + 3X + -4x = 6x + -1(7 + -11) Combine like terms: 39 + -28 = 11 11 + 3X + -4x = 6x + -1(7 + -11) Combine like terms: 7 + -11 = -4 11 + 3X + -4x = 6x + -1(-4) Multiply -1 * -4 11 + 3X + -4x = 6x + 4 Reorder the terms: 11 + 3X + -4x = 4 + 6x Solving 11 + 3X + -4x = 4 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 3X + -11 + -4x = 4 + -11 + 6x Reorder the terms: 11 + -11 + 3X + -4x = 4 + -11 + 6x Combine like terms: 11 + -11 = 0 0 + 3X + -4x = 4 + -11 + 6x 3X + -4x = 4 + -11 + 6x Combine like terms: 4 + -11 = -7 3X + -4x = -7 + 6x Add '4x' to each side of the equation. 3X + -4x + 4x = -7 + 6x + 4x Combine like terms: -4x + 4x = 0 3X + 0 = -7 + 6x + 4x 3X = -7 + 6x + 4x Combine like terms: 6x + 4x = 10x 3X = -7 + 10x Divide each side by '3'. X = -2.333333333 + 3.333333333x Simplifying X = -2.333333333 + 3.333333333x
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