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Simplifying (13x + 30) + -3(5x + -11) = -22 Reorder the terms: (30 + 13x) + -3(5x + -11) = -22 Remove parenthesis around (30 + 13x) 30 + 13x + -3(5x + -11) = -22 Reorder the terms: 30 + 13x + -3(-11 + 5x) = -22 30 + 13x + (-11 * -3 + 5x * -3) = -22 30 + 13x + (33 + -15x) = -22 Reorder the terms: 30 + 33 + 13x + -15x = -22 Combine like terms: 30 + 33 = 63 63 + 13x + -15x = -22 Combine like terms: 13x + -15x = -2x 63 + -2x = -22 Solving 63 + -2x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -2x = -22 + -63 Combine like terms: 63 + -63 = 0 0 + -2x = -22 + -63 -2x = -22 + -63 Combine like terms: -22 + -63 = -85 -2x = -85 Divide each side by '-2'. x = 42.5 Simplifying x = 42.5
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