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Simplifying -3(5x + -2) = 22 + -7x Reorder the terms: -3(-2 + 5x) = 22 + -7x (-2 * -3 + 5x * -3) = 22 + -7x (6 + -15x) = 22 + -7x Solving 6 + -15x = 22 + -7x 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. 6 + -15x + 7x = 22 + -7x + 7x Combine like terms: -15x + 7x = -8x 6 + -8x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + -8x = 22 + 0 6 + -8x = 22 Add '-6' to each side of the equation. 6 + -6 + -8x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 22 + -6 -8x = 22 + -6 Combine like terms: 22 + -6 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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