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