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Simplifying 13(x + 6 + -2) = 2(x + -22) + -3 Reorder the terms: 13(6 + -2 + x) = 2(x + -22) + -3 Combine like terms: 6 + -2 = 4 13(4 + x) = 2(x + -22) + -3 (4 * 13 + x * 13) = 2(x + -22) + -3 (52 + 13x) = 2(x + -22) + -3 Reorder the terms: 52 + 13x = 2(-22 + x) + -3 52 + 13x = (-22 * 2 + x * 2) + -3 52 + 13x = (-44 + 2x) + -3 Reorder the terms: 52 + 13x = -44 + -3 + 2x Combine like terms: -44 + -3 = -47 52 + 13x = -47 + 2x Solving 52 + 13x = -47 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 52 + 13x + -2x = -47 + 2x + -2x Combine like terms: 13x + -2x = 11x 52 + 11x = -47 + 2x + -2x Combine like terms: 2x + -2x = 0 52 + 11x = -47 + 0 52 + 11x = -47 Add '-52' to each side of the equation. 52 + -52 + 11x = -47 + -52 Combine like terms: 52 + -52 = 0 0 + 11x = -47 + -52 11x = -47 + -52 Combine like terms: -47 + -52 = -99 11x = -99 Divide each side by '11'. x = -9 Simplifying x = -9
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