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Simplifying 3(x + -7) + 20 = -2 + 6x + 1 Reorder the terms: 3(-7 + x) + 20 = -2 + 6x + 1 (-7 * 3 + x * 3) + 20 = -2 + 6x + 1 (-21 + 3x) + 20 = -2 + 6x + 1 Reorder the terms: -21 + 20 + 3x = -2 + 6x + 1 Combine like terms: -21 + 20 = -1 -1 + 3x = -2 + 6x + 1 Reorder the terms: -1 + 3x = -2 + 1 + 6x Combine like terms: -2 + 1 = -1 -1 + 3x = -1 + 6x Add '1' to each side of the equation. -1 + 1 + 3x = -1 + 1 + 6x Combine like terms: -1 + 1 = 0 0 + 3x = -1 + 1 + 6x 3x = -1 + 1 + 6x Combine like terms: -1 + 1 = 0 3x = 0 + 6x 3x = 6x Solving 3x = 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. 3x + -6x = 6x + -6x Combine like terms: 3x + -6x = -3x -3x = 6x + -6x Combine like terms: 6x + -6x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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