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Simplifying 5x + 3(x + 2) + 4x + -7 = -3x + 4 + -1(3x + 2x) Reorder the terms: 5x + 3(2 + x) + 4x + -7 = -3x + 4 + -1(3x + 2x) 5x + (2 * 3 + x * 3) + 4x + -7 = -3x + 4 + -1(3x + 2x) 5x + (6 + 3x) + 4x + -7 = -3x + 4 + -1(3x + 2x) Reorder the terms: 6 + -7 + 5x + 3x + 4x = -3x + 4 + -1(3x + 2x) Combine like terms: 6 + -7 = -1 -1 + 5x + 3x + 4x = -3x + 4 + -1(3x + 2x) Combine like terms: 5x + 3x = 8x -1 + 8x + 4x = -3x + 4 + -1(3x + 2x) Combine like terms: 8x + 4x = 12x -1 + 12x = -3x + 4 + -1(3x + 2x) Combine like terms: 3x + 2x = 5x -1 + 12x = -3x + 4 + -1(5x) Remove parenthesis around (5x) -1 + 12x = -3x + 4 + -1 * 5x Multiply -1 * 5 -1 + 12x = -3x + 4 + -5x Reorder the terms: -1 + 12x = 4 + -3x + -5x Combine like terms: -3x + -5x = -8x -1 + 12x = 4 + -8x Solving -1 + 12x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + 12x + 8x = 4 + -8x + 8x Combine like terms: 12x + 8x = 20x -1 + 20x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 20x = 4 + 0 -1 + 20x = 4 Add '1' to each side of the equation. -1 + 1 + 20x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 20x = 4 + 1 20x = 4 + 1 Combine like terms: 4 + 1 = 5 20x = 5 Divide each side by '20'. x = 0.25 Simplifying x = 0.25
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