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Simplifying 2(-4 + -1x) = 3(5 + 2x) + 4 (-4 * 2 + -1x * 2) = 3(5 + 2x) + 4 (-8 + -2x) = 3(5 + 2x) + 4 -8 + -2x = (5 * 3 + 2x * 3) + 4 -8 + -2x = (15 + 6x) + 4 Reorder the terms: -8 + -2x = 15 + 4 + 6x Combine like terms: 15 + 4 = 19 -8 + -2x = 19 + 6x Solving -8 + -2x = 19 + 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. -8 + -2x + -6x = 19 + 6x + -6x Combine like terms: -2x + -6x = -8x -8 + -8x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -8x = 19 + 0 -8 + -8x = 19 Add '8' to each side of the equation. -8 + 8 + -8x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 19 + 8 -8x = 19 + 8 Combine like terms: 19 + 8 = 27 -8x = 27 Divide each side by '-8'. x = -3.375 Simplifying x = -3.375
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