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Simplifying 7(X + -3) + 2(x + 3) = 6 + -2x Reorder the terms: 7(-3 + X) + 2(x + 3) = 6 + -2x (-3 * 7 + X * 7) + 2(x + 3) = 6 + -2x (-21 + 7X) + 2(x + 3) = 6 + -2x Reorder the terms: -21 + 7X + 2(3 + x) = 6 + -2x -21 + 7X + (3 * 2 + x * 2) = 6 + -2x -21 + 7X + (6 + 2x) = 6 + -2x Reorder the terms: -21 + 6 + 7X + 2x = 6 + -2x Combine like terms: -21 + 6 = -15 -15 + 7X + 2x = 6 + -2x Solving -15 + 7X + 2x = 6 + -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 7X + 15 + 2x = 6 + 15 + -2x Reorder the terms: -15 + 15 + 7X + 2x = 6 + 15 + -2x Combine like terms: -15 + 15 = 0 0 + 7X + 2x = 6 + 15 + -2x 7X + 2x = 6 + 15 + -2x Combine like terms: 6 + 15 = 21 7X + 2x = 21 + -2x Add '-2x' to each side of the equation. 7X + 2x + -2x = 21 + -2x + -2x Combine like terms: 2x + -2x = 0 7X + 0 = 21 + -2x + -2x 7X = 21 + -2x + -2x Combine like terms: -2x + -2x = -4x 7X = 21 + -4x Divide each side by '7'. X = 3 + -0.5714285714x Simplifying X = 3 + -0.5714285714x
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