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