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Simplifying (3x + 4) + -1(x + 3) = 3x + 2 + 5x Reorder the terms: (4 + 3x) + -1(x + 3) = 3x + 2 + 5x Remove parenthesis around (4 + 3x) 4 + 3x + -1(x + 3) = 3x + 2 + 5x Reorder the terms: 4 + 3x + -1(3 + x) = 3x + 2 + 5x 4 + 3x + (3 * -1 + x * -1) = 3x + 2 + 5x 4 + 3x + (-3 + -1x) = 3x + 2 + 5x Reorder the terms: 4 + -3 + 3x + -1x = 3x + 2 + 5x Combine like terms: 4 + -3 = 1 1 + 3x + -1x = 3x + 2 + 5x Combine like terms: 3x + -1x = 2x 1 + 2x = 3x + 2 + 5x Reorder the terms: 1 + 2x = 2 + 3x + 5x Combine like terms: 3x + 5x = 8x 1 + 2x = 2 + 8x Solving 1 + 2x = 2 + 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 + 2x + -8x = 2 + 8x + -8x Combine like terms: 2x + -8x = -6x 1 + -6x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -6x = 2 + 0 1 + -6x = 2 Add '-1' to each side of the equation. 1 + -1 + -6x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 2 + -1 -6x = 2 + -1 Combine like terms: 2 + -1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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