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Simplifying -255 = 3x + -7(3x + 21) Reorder the terms: -255 = 3x + -7(21 + 3x) -255 = 3x + (21 * -7 + 3x * -7) -255 = 3x + (-147 + -21x) Reorder the terms: -255 = -147 + 3x + -21x Combine like terms: 3x + -21x = -18x -255 = -147 + -18x Solving -255 = -147 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -255 + 18x = -147 + -18x + 18x Combine like terms: -18x + 18x = 0 -255 + 18x = -147 + 0 -255 + 18x = -147 Add '255' to each side of the equation. -255 + 255 + 18x = -147 + 255 Combine like terms: -255 + 255 = 0 0 + 18x = -147 + 255 18x = -147 + 255 Combine like terms: -147 + 255 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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