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Simplifying -2(-2x + 3) + 4x = -2(6 + -3x) + 3x Reorder the terms: -2(3 + -2x) + 4x = -2(6 + -3x) + 3x (3 * -2 + -2x * -2) + 4x = -2(6 + -3x) + 3x (-6 + 4x) + 4x = -2(6 + -3x) + 3x Combine like terms: 4x + 4x = 8x -6 + 8x = -2(6 + -3x) + 3x -6 + 8x = (6 * -2 + -3x * -2) + 3x -6 + 8x = (-12 + 6x) + 3x Combine like terms: 6x + 3x = 9x -6 + 8x = -12 + 9x Solving -6 + 8x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 8x + -9x = -12 + 9x + -9x Combine like terms: 8x + -9x = -1x -6 + -1x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -1x = -12 + 0 -6 + -1x = -12 Add '6' to each side of the equation. -6 + 6 + -1x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -12 + 6 -1x = -12 + 6 Combine like terms: -12 + 6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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