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