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Simplifying 5 + -8(1 + -2x) = 7(2x + -3) 5 + (1 * -8 + -2x * -8) = 7(2x + -3) 5 + (-8 + 16x) = 7(2x + -3) Combine like terms: 5 + -8 = -3 -3 + 16x = 7(2x + -3) Reorder the terms: -3 + 16x = 7(-3 + 2x) -3 + 16x = (-3 * 7 + 2x * 7) -3 + 16x = (-21 + 14x) Solving -3 + 16x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -3 + 16x + -14x = -21 + 14x + -14x Combine like terms: 16x + -14x = 2x -3 + 2x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + 2x = -21 + 0 -3 + 2x = -21 Add '3' to each side of the equation. -3 + 3 + 2x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -21 + 3 2x = -21 + 3 Combine like terms: -21 + 3 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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