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Simplifying 3x + -1(x + 1) = -3 + 6(x + -3) Reorder the terms: 3x + -1(1 + x) = -3 + 6(x + -3) 3x + (1 * -1 + x * -1) = -3 + 6(x + -3) 3x + (-1 + -1x) = -3 + 6(x + -3) Reorder the terms: -1 + 3x + -1x = -3 + 6(x + -3) Combine like terms: 3x + -1x = 2x -1 + 2x = -3 + 6(x + -3) Reorder the terms: -1 + 2x = -3 + 6(-3 + x) -1 + 2x = -3 + (-3 * 6 + x * 6) -1 + 2x = -3 + (-18 + 6x) Combine like terms: -3 + -18 = -21 -1 + 2x = -21 + 6x Solving -1 + 2x = -21 + 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. -1 + 2x + -6x = -21 + 6x + -6x Combine like terms: 2x + -6x = -4x -1 + -4x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -4x = -21 + 0 -1 + -4x = -21 Add '1' to each side of the equation. -1 + 1 + -4x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -21 + 1 -4x = -21 + 1 Combine like terms: -21 + 1 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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