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Simplifying 4x + -1(x + 3) + -7 = (2x + -3) + -1(5x + -1) Reorder the terms: 4x + -1(3 + x) + -7 = (2x + -3) + -1(5x + -1) 4x + (3 * -1 + x * -1) + -7 = (2x + -3) + -1(5x + -1) 4x + (-3 + -1x) + -7 = (2x + -3) + -1(5x + -1) Reorder the terms: -3 + -7 + 4x + -1x = (2x + -3) + -1(5x + -1) Combine like terms: -3 + -7 = -10 -10 + 4x + -1x = (2x + -3) + -1(5x + -1) Combine like terms: 4x + -1x = 3x -10 + 3x = (2x + -3) + -1(5x + -1) Reorder the terms: -10 + 3x = (-3 + 2x) + -1(5x + -1) Remove parenthesis around (-3 + 2x) -10 + 3x = -3 + 2x + -1(5x + -1) Reorder the terms: -10 + 3x = -3 + 2x + -1(-1 + 5x) -10 + 3x = -3 + 2x + (-1 * -1 + 5x * -1) -10 + 3x = -3 + 2x + (1 + -5x) Reorder the terms: -10 + 3x = -3 + 1 + 2x + -5x Combine like terms: -3 + 1 = -2 -10 + 3x = -2 + 2x + -5x Combine like terms: 2x + -5x = -3x -10 + 3x = -2 + -3x Solving -10 + 3x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 3x + 3x = -2 + -3x + 3x Combine like terms: 3x + 3x = 6x -10 + 6x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 6x = -2 + 0 -10 + 6x = -2 Add '10' to each side of the equation. -10 + 10 + 6x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -2 + 10 6x = -2 + 10 Combine like terms: -2 + 10 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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