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Simplifying 2(-4 + -1x) = 3(2 + 2x) + -7 (-4 * 2 + -1x * 2) = 3(2 + 2x) + -7 (-8 + -2x) = 3(2 + 2x) + -7 -8 + -2x = (2 * 3 + 2x * 3) + -7 -8 + -2x = (6 + 6x) + -7 Reorder the terms: -8 + -2x = 6 + -7 + 6x Combine like terms: 6 + -7 = -1 -8 + -2x = -1 + 6x Solving -8 + -2x = -1 + 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 = -1 + 6x + -6x Combine like terms: -2x + -6x = -8x -8 + -8x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -8x = -1 + 0 -8 + -8x = -1 Add '8' to each side of the equation. -8 + 8 + -8x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -1 + 8 -8x = -1 + 8 Combine like terms: -1 + 8 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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