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Simplifying 5(x + -1) + -3[2x + (2 + -3x)] = 1 + 4x Reorder the terms: 5(-1 + x) + -3[2x + (2 + -3x)] = 1 + 4x (-1 * 5 + x * 5) + -3[2x + (2 + -3x)] = 1 + 4x (-5 + 5x) + -3[2x + (2 + -3x)] = 1 + 4x Remove parenthesis around (2 + -3x) -5 + 5x + -3[2x + 2 + -3x] = 1 + 4x Reorder the terms: -5 + 5x + -3[2 + 2x + -3x] = 1 + 4x Combine like terms: 2x + -3x = -1x -5 + 5x + -3[2 + -1x] = 1 + 4x -5 + 5x + [2 * -3 + -1x * -3] = 1 + 4x -5 + 5x + [-6 + 3x] = 1 + 4x Reorder the terms: -5 + -6 + 5x + 3x = 1 + 4x Combine like terms: -5 + -6 = -11 -11 + 5x + 3x = 1 + 4x Combine like terms: 5x + 3x = 8x -11 + 8x = 1 + 4x Solving -11 + 8x = 1 + 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. -11 + 8x + -4x = 1 + 4x + -4x Combine like terms: 8x + -4x = 4x -11 + 4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + 4x = 1 + 0 -11 + 4x = 1 Add '11' to each side of the equation. -11 + 11 + 4x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 1 + 11 4x = 1 + 11 Combine like terms: 1 + 11 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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