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Simplifying 4x + -7 + -1(x + 4) = 3x + 4 + -1(2x + -1) Reorder the terms: 4x + -7 + -1(4 + x) = 3x + 4 + -1(2x + -1) 4x + -7 + (4 * -1 + x * -1) = 3x + 4 + -1(2x + -1) 4x + -7 + (-4 + -1x) = 3x + 4 + -1(2x + -1) Reorder the terms: -7 + -4 + 4x + -1x = 3x + 4 + -1(2x + -1) Combine like terms: -7 + -4 = -11 -11 + 4x + -1x = 3x + 4 + -1(2x + -1) Combine like terms: 4x + -1x = 3x -11 + 3x = 3x + 4 + -1(2x + -1) Reorder the terms: -11 + 3x = 3x + 4 + -1(-1 + 2x) -11 + 3x = 3x + 4 + (-1 * -1 + 2x * -1) -11 + 3x = 3x + 4 + (1 + -2x) Reorder the terms: -11 + 3x = 4 + 1 + 3x + -2x Combine like terms: 4 + 1 = 5 -11 + 3x = 5 + 3x + -2x Combine like terms: 3x + -2x = 1x -11 + 3x = 5 + 1x Solving -11 + 3x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 3x + -1x = 5 + 1x + -1x Combine like terms: 3x + -1x = 2x -11 + 2x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -11 + 2x = 5 + 0 -11 + 2x = 5 Add '11' to each side of the equation. -11 + 11 + 2x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 5 + 11 2x = 5 + 11 Combine like terms: 5 + 11 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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