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