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Simplifying (x + -3) * 7 = 6x + 12 Reorder the terms: (-3 + x) * 7 = 6x + 12 Reorder the terms for easier multiplication: 7(-3 + x) = 6x + 12 (-3 * 7 + x * 7) = 6x + 12 (-21 + 7x) = 6x + 12 Reorder the terms: -21 + 7x = 12 + 6x Solving -21 + 7x = 12 + 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. -21 + 7x + -6x = 12 + 6x + -6x Combine like terms: 7x + -6x = 1x -21 + 1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 1x = 12 + 0 -21 + 1x = 12 Add '21' to each side of the equation. -21 + 21 + 1x = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 12 + 21 1x = 12 + 21 Combine like terms: 12 + 21 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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