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