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Simplifying 2 + 3(x + -6) = 2 + -2(x + -1) Reorder the terms: 2 + 3(-6 + x) = 2 + -2(x + -1) 2 + (-6 * 3 + x * 3) = 2 + -2(x + -1) 2 + (-18 + 3x) = 2 + -2(x + -1) Combine like terms: 2 + -18 = -16 -16 + 3x = 2 + -2(x + -1) Reorder the terms: -16 + 3x = 2 + -2(-1 + x) -16 + 3x = 2 + (-1 * -2 + x * -2) -16 + 3x = 2 + (2 + -2x) Combine like terms: 2 + 2 = 4 -16 + 3x = 4 + -2x Solving -16 + 3x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 3x + 2x = 4 + -2x + 2x Combine like terms: 3x + 2x = 5x -16 + 5x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 5x = 4 + 0 -16 + 5x = 4 Add '16' to each side of the equation. -16 + 16 + 5x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 4 + 16 5x = 4 + 16 Combine like terms: 4 + 16 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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