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Simplifying 4[-2(x + 3) + 7] + -5x = 61 Reorder the terms: 4[-2(3 + x) + 7] + -5x = 61 4[(3 * -2 + x * -2) + 7] + -5x = 61 4[(-6 + -2x) + 7] + -5x = 61 Reorder the terms: 4[-6 + 7 + -2x] + -5x = 61 Combine like terms: -6 + 7 = 1 4[1 + -2x] + -5x = 61 [1 * 4 + -2x * 4] + -5x = 61 [4 + -8x] + -5x = 61 Combine like terms: -8x + -5x = -13x 4 + -13x = 61 Solving 4 + -13x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -13x = 61 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = 61 + -4 -13x = 61 + -4 Combine like terms: 61 + -4 = 57 -13x = 57 Divide each side by '-13'. x = -4.384615385 Simplifying x = -4.384615385
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