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Simplifying 2 + -4(x + 2) = 5 + -3(2x + -1) Reorder the terms: 2 + -4(2 + x) = 5 + -3(2x + -1) 2 + (2 * -4 + x * -4) = 5 + -3(2x + -1) 2 + (-8 + -4x) = 5 + -3(2x + -1) Combine like terms: 2 + -8 = -6 -6 + -4x = 5 + -3(2x + -1) Reorder the terms: -6 + -4x = 5 + -3(-1 + 2x) -6 + -4x = 5 + (-1 * -3 + 2x * -3) -6 + -4x = 5 + (3 + -6x) Combine like terms: 5 + 3 = 8 -6 + -4x = 8 + -6x Solving -6 + -4x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + -4x + 6x = 8 + -6x + 6x Combine like terms: -4x + 6x = 2x -6 + 2x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 2x = 8 + 0 -6 + 2x = 8 Add '6' to each side of the equation. -6 + 6 + 2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 8 + 6 2x = 8 + 6 Combine like terms: 8 + 6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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