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Simplifying X + -7x = 3(-6x + -8) + 5(-3x + -6) Reorder the terms: X + -7x = 3(-8 + -6x) + 5(-3x + -6) X + -7x = (-8 * 3 + -6x * 3) + 5(-3x + -6) X + -7x = (-24 + -18x) + 5(-3x + -6) Reorder the terms: X + -7x = -24 + -18x + 5(-6 + -3x) X + -7x = -24 + -18x + (-6 * 5 + -3x * 5) X + -7x = -24 + -18x + (-30 + -15x) Reorder the terms: X + -7x = -24 + -30 + -18x + -15x Combine like terms: -24 + -30 = -54 X + -7x = -54 + -18x + -15x Combine like terms: -18x + -15x = -33x X + -7x = -54 + -33x Solving X + -7x = -54 + -33x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7x' to each side of the equation. X + -7x + 7x = -54 + -33x + 7x Combine like terms: -7x + 7x = 0 X + 0 = -54 + -33x + 7x X = -54 + -33x + 7x Combine like terms: -33x + 7x = -26x X = -54 + -26x Simplifying X = -54 + -26x
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