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Simplifying 3(x + -2) = x + 6x + 1 Reorder the terms: 3(-2 + x) = x + 6x + 1 (-2 * 3 + x * 3) = x + 6x + 1 (-6 + 3x) = x + 6x + 1 Reorder the terms: -6 + 3x = 1 + x + 6x Combine like terms: x + 6x = 7x -6 + 3x = 1 + 7x Solving -6 + 3x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 3x + -7x = 1 + 7x + -7x Combine like terms: 3x + -7x = -4x -6 + -4x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -4x = 1 + 0 -6 + -4x = 1 Add '6' to each side of the equation. -6 + 6 + -4x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 1 + 6 -4x = 1 + 6 Combine like terms: 1 + 6 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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