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Simplifying 5(-3x + 7) = -30 + -2x Reorder the terms: 5(7 + -3x) = -30 + -2x (7 * 5 + -3x * 5) = -30 + -2x (35 + -15x) = -30 + -2x Solving 35 + -15x = -30 + -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. 35 + -15x + 2x = -30 + -2x + 2x Combine like terms: -15x + 2x = -13x 35 + -13x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + -13x = -30 + 0 35 + -13x = -30 Add '-35' to each side of the equation. 35 + -35 + -13x = -30 + -35 Combine like terms: 35 + -35 = 0 0 + -13x = -30 + -35 -13x = -30 + -35 Combine like terms: -30 + -35 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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