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Simplifying (x + -2) * 3 = (x + -6) * 7 Reorder the terms: (-2 + x) * 3 = (x + -6) * 7 Reorder the terms for easier multiplication: 3(-2 + x) = (x + -6) * 7 (-2 * 3 + x * 3) = (x + -6) * 7 (-6 + 3x) = (x + -6) * 7 Reorder the terms: -6 + 3x = (-6 + x) * 7 Reorder the terms for easier multiplication: -6 + 3x = 7(-6 + x) -6 + 3x = (-6 * 7 + x * 7) -6 + 3x = (-42 + 7x) Solving -6 + 3x = -42 + 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 = -42 + 7x + -7x Combine like terms: 3x + -7x = -4x -6 + -4x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -4x = -42 + 0 -6 + -4x = -42 Add '6' to each side of the equation. -6 + 6 + -4x = -42 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -42 + 6 -4x = -42 + 6 Combine like terms: -42 + 6 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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