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Simplifying -1(x + 7) + (6x + 1) = -3(x + 1) Reorder the terms: -1(7 + x) + (6x + 1) = -3(x + 1) (7 * -1 + x * -1) + (6x + 1) = -3(x + 1) (-7 + -1x) + (6x + 1) = -3(x + 1) Reorder the terms: -7 + -1x + (1 + 6x) = -3(x + 1) Remove parenthesis around (1 + 6x) -7 + -1x + 1 + 6x = -3(x + 1) Reorder the terms: -7 + 1 + -1x + 6x = -3(x + 1) Combine like terms: -7 + 1 = -6 -6 + -1x + 6x = -3(x + 1) Combine like terms: -1x + 6x = 5x -6 + 5x = -3(x + 1) Reorder the terms: -6 + 5x = -3(1 + x) -6 + 5x = (1 * -3 + x * -3) -6 + 5x = (-3 + -3x) Solving -6 + 5x = -3 + -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. -6 + 5x + 3x = -3 + -3x + 3x Combine like terms: 5x + 3x = 8x -6 + 8x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 8x = -3 + 0 -6 + 8x = -3 Add '6' to each side of the equation. -6 + 6 + 8x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -3 + 6 8x = -3 + 6 Combine like terms: -3 + 6 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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