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Simplifying 61 = -7x + -5(-4x + 6) Reorder the terms: 61 = -7x + -5(6 + -4x) 61 = -7x + (6 * -5 + -4x * -5) 61 = -7x + (-30 + 20x) Reorder the terms: 61 = -30 + -7x + 20x Combine like terms: -7x + 20x = 13x 61 = -30 + 13x Solving 61 = -30 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 61 + -13x = -30 + 13x + -13x Combine like terms: 13x + -13x = 0 61 + -13x = -30 + 0 61 + -13x = -30 Add '-61' to each side of the equation. 61 + -61 + -13x = -30 + -61 Combine like terms: 61 + -61 = 0 0 + -13x = -30 + -61 -13x = -30 + -61 Combine like terms: -30 + -61 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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