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Simplifying 3[-2(x + 5) + -5] = x + 7 Reorder the terms: 3[-2(5 + x) + -5] = x + 7 3[(5 * -2 + x * -2) + -5] = x + 7 3[(-10 + -2x) + -5] = x + 7 Reorder the terms: 3[-10 + -5 + -2x] = x + 7 Combine like terms: -10 + -5 = -15 3[-15 + -2x] = x + 7 [-15 * 3 + -2x * 3] = x + 7 [-45 + -6x] = x + 7 Reorder the terms: -45 + -6x = 7 + x Solving -45 + -6x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -45 + -6x + -1x = 7 + x + -1x Combine like terms: -6x + -1x = -7x -45 + -7x = 7 + x + -1x Combine like terms: x + -1x = 0 -45 + -7x = 7 + 0 -45 + -7x = 7 Add '45' to each side of the equation. -45 + 45 + -7x = 7 + 45 Combine like terms: -45 + 45 = 0 0 + -7x = 7 + 45 -7x = 7 + 45 Combine like terms: 7 + 45 = 52 -7x = 52 Divide each side by '-7'. x = -7.428571429 Simplifying x = -7.428571429
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