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