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Simplifying 3x + -1(4) + -1(7x) = 2x + (2) + 2x Multiply -1 * 4 3x + -4 + -1(7x) = 2x + (2) + 2x Remove parenthesis around (7x) 3x + -4 + -1 * 7x = 2x + (2) + 2x Multiply -1 * 7 3x + -4 + -7x = 2x + (2) + 2x Reorder the terms: -4 + 3x + -7x = 2x + (2) + 2x Combine like terms: 3x + -7x = -4x -4 + -4x = 2x + (2) + 2x -4 + -4x = 2x + 2 + 2x Reorder the terms: -4 + -4x = 2 + 2x + 2x Combine like terms: 2x + 2x = 4x -4 + -4x = 2 + 4x Solving -4 + -4x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + -4x + -4x = 2 + 4x + -4x Combine like terms: -4x + -4x = -8x -4 + -8x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -8x = 2 + 0 -4 + -8x = 2 Add '4' to each side of the equation. -4 + 4 + -8x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 2 + 4 -8x = 2 + 4 Combine like terms: 2 + 4 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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