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Simplifying 2(x + -1) + -3(4 + -1x) = 7x + -2 Reorder the terms: 2(-1 + x) + -3(4 + -1x) = 7x + -2 (-1 * 2 + x * 2) + -3(4 + -1x) = 7x + -2 (-2 + 2x) + -3(4 + -1x) = 7x + -2 -2 + 2x + (4 * -3 + -1x * -3) = 7x + -2 -2 + 2x + (-12 + 3x) = 7x + -2 Reorder the terms: -2 + -12 + 2x + 3x = 7x + -2 Combine like terms: -2 + -12 = -14 -14 + 2x + 3x = 7x + -2 Combine like terms: 2x + 3x = 5x -14 + 5x = 7x + -2 Reorder the terms: -14 + 5x = -2 + 7x Solving -14 + 5x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + 5x + -7x = -2 + 7x + -7x Combine like terms: 5x + -7x = -2x -14 + -2x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -2x = -2 + 0 -14 + -2x = -2 Add '14' to each side of the equation. -14 + 14 + -2x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -2 + 14 -2x = -2 + 14 Combine like terms: -2 + 14 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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