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Simplifying 13 + -3(3x + -7) = 22 + -7x Reorder the terms: 13 + -3(-7 + 3x) = 22 + -7x 13 + (-7 * -3 + 3x * -3) = 22 + -7x 13 + (21 + -9x) = 22 + -7x Combine like terms: 13 + 21 = 34 34 + -9x = 22 + -7x Solving 34 + -9x = 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. 34 + -9x + 7x = 22 + -7x + 7x Combine like terms: -9x + 7x = -2x 34 + -2x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 34 + -2x = 22 + 0 34 + -2x = 22 Add '-34' to each side of the equation. 34 + -34 + -2x = 22 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 22 + -34 -2x = 22 + -34 Combine like terms: 22 + -34 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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