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Simplifying 4(5x + -1) + 65 = 13x + -2 Reorder the terms: 4(-1 + 5x) + 65 = 13x + -2 (-1 * 4 + 5x * 4) + 65 = 13x + -2 (-4 + 20x) + 65 = 13x + -2 Reorder the terms: -4 + 65 + 20x = 13x + -2 Combine like terms: -4 + 65 = 61 61 + 20x = 13x + -2 Reorder the terms: 61 + 20x = -2 + 13x Solving 61 + 20x = -2 + 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 + 20x + -13x = -2 + 13x + -13x Combine like terms: 20x + -13x = 7x 61 + 7x = -2 + 13x + -13x Combine like terms: 13x + -13x = 0 61 + 7x = -2 + 0 61 + 7x = -2 Add '-61' to each side of the equation. 61 + -61 + 7x = -2 + -61 Combine like terms: 61 + -61 = 0 0 + 7x = -2 + -61 7x = -2 + -61 Combine like terms: -2 + -61 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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