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Simplifying 2 + -3(2x + -1) = 1 + -2(x + 4) Reorder the terms: 2 + -3(-1 + 2x) = 1 + -2(x + 4) 2 + (-1 * -3 + 2x * -3) = 1 + -2(x + 4) 2 + (3 + -6x) = 1 + -2(x + 4) Combine like terms: 2 + 3 = 5 5 + -6x = 1 + -2(x + 4) Reorder the terms: 5 + -6x = 1 + -2(4 + x) 5 + -6x = 1 + (4 * -2 + x * -2) 5 + -6x = 1 + (-8 + -2x) Combine like terms: 1 + -8 = -7 5 + -6x = -7 + -2x Solving 5 + -6x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + -6x + 2x = -7 + -2x + 2x Combine like terms: -6x + 2x = -4x 5 + -4x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + -4x = -7 + 0 5 + -4x = -7 Add '-5' to each side of the equation. 5 + -5 + -4x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -7 + -5 -4x = -7 + -5 Combine like terms: -7 + -5 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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