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Simplifying -1(3x + -1) + 4x + 2 = (x + 7) + 5x Reorder the terms: -1(-1 + 3x) + 4x + 2 = (x + 7) + 5x (-1 * -1 + 3x * -1) + 4x + 2 = (x + 7) + 5x (1 + -3x) + 4x + 2 = (x + 7) + 5x Reorder the terms: 1 + 2 + -3x + 4x = (x + 7) + 5x Combine like terms: 1 + 2 = 3 3 + -3x + 4x = (x + 7) + 5x Combine like terms: -3x + 4x = 1x 3 + 1x = (x + 7) + 5x Reorder the terms: 3 + 1x = (7 + x) + 5x Remove parenthesis around (7 + x) 3 + 1x = 7 + x + 5x Combine like terms: x + 5x = 6x 3 + 1x = 7 + 6x Solving 3 + 1x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 1x + -6x = 7 + 6x + -6x Combine like terms: 1x + -6x = -5x 3 + -5x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -5x = 7 + 0 3 + -5x = 7 Add '-3' to each side of the equation. 3 + -3 + -5x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 7 + -3 -5x = 7 + -3 Combine like terms: 7 + -3 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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