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Simplifying X + -7(3 + -2x) = 4 + 2(5x + 6) X + (3 * -7 + -2x * -7) = 4 + 2(5x + 6) X + (-21 + 14x) = 4 + 2(5x + 6) Reorder the terms: -21 + X + 14x = 4 + 2(5x + 6) Reorder the terms: -21 + X + 14x = 4 + 2(6 + 5x) -21 + X + 14x = 4 + (6 * 2 + 5x * 2) -21 + X + 14x = 4 + (12 + 10x) Combine like terms: 4 + 12 = 16 -21 + X + 14x = 16 + 10x Solving -21 + X + 14x = 16 + 10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '21' to each side of the equation. -21 + X + 21 + 14x = 16 + 21 + 10x Reorder the terms: -21 + 21 + X + 14x = 16 + 21 + 10x Combine like terms: -21 + 21 = 0 0 + X + 14x = 16 + 21 + 10x X + 14x = 16 + 21 + 10x Combine like terms: 16 + 21 = 37 X + 14x = 37 + 10x Add '-14x' to each side of the equation. X + 14x + -14x = 37 + 10x + -14x Combine like terms: 14x + -14x = 0 X + 0 = 37 + 10x + -14x X = 37 + 10x + -14x Combine like terms: 10x + -14x = -4x X = 37 + -4x Simplifying X = 37 + -4x
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