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Simplifying -6x + 3(4x + -7) = 7x + -20 Reorder the terms: -6x + 3(-7 + 4x) = 7x + -20 -6x + (-7 * 3 + 4x * 3) = 7x + -20 -6x + (-21 + 12x) = 7x + -20 Reorder the terms: -21 + -6x + 12x = 7x + -20 Combine like terms: -6x + 12x = 6x -21 + 6x = 7x + -20 Reorder the terms: -21 + 6x = -20 + 7x Solving -21 + 6x = -20 + 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. -21 + 6x + -7x = -20 + 7x + -7x Combine like terms: 6x + -7x = -1x -21 + -1x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -1x = -20 + 0 -21 + -1x = -20 Add '21' to each side of the equation. -21 + 21 + -1x = -20 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -20 + 21 -1x = -20 + 21 Combine like terms: -20 + 21 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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