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Simplifying (4x + 3) + -1(7 + -1x) = 7x Reorder the terms: (3 + 4x) + -1(7 + -1x) = 7x Remove parenthesis around (3 + 4x) 3 + 4x + -1(7 + -1x) = 7x 3 + 4x + (7 * -1 + -1x * -1) = 7x 3 + 4x + (-7 + 1x) = 7x Reorder the terms: 3 + -7 + 4x + 1x = 7x Combine like terms: 3 + -7 = -4 -4 + 4x + 1x = 7x Combine like terms: 4x + 1x = 5x -4 + 5x = 7x Solving -4 + 5x = 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. -4 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -4 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -2x = 0 Add '4' to each side of the equation. -4 + 4 + -2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 0 + 4 -2x = 0 + 4 Combine like terms: 0 + 4 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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