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Simplifying 2x + -3(2x + 4) = 3 + -1(2x + -5) Reorder the terms: 2x + -3(4 + 2x) = 3 + -1(2x + -5) 2x + (4 * -3 + 2x * -3) = 3 + -1(2x + -5) 2x + (-12 + -6x) = 3 + -1(2x + -5) Reorder the terms: -12 + 2x + -6x = 3 + -1(2x + -5) Combine like terms: 2x + -6x = -4x -12 + -4x = 3 + -1(2x + -5) Reorder the terms: -12 + -4x = 3 + -1(-5 + 2x) -12 + -4x = 3 + (-5 * -1 + 2x * -1) -12 + -4x = 3 + (5 + -2x) Combine like terms: 3 + 5 = 8 -12 + -4x = 8 + -2x Solving -12 + -4x = 8 + -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. -12 + -4x + 2x = 8 + -2x + 2x Combine like terms: -4x + 2x = -2x -12 + -2x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + -2x = 8 + 0 -12 + -2x = 8 Add '12' to each side of the equation. -12 + 12 + -2x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 8 + 12 -2x = 8 + 12 Combine like terms: 8 + 12 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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