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Simplifying 3(4x + -17) = 3(x + 7) Reorder the terms: 3(-17 + 4x) = 3(x + 7) (-17 * 3 + 4x * 3) = 3(x + 7) (-51 + 12x) = 3(x + 7) Reorder the terms: -51 + 12x = 3(7 + x) -51 + 12x = (7 * 3 + x * 3) -51 + 12x = (21 + 3x) Solving -51 + 12x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -51 + 12x + -3x = 21 + 3x + -3x Combine like terms: 12x + -3x = 9x -51 + 9x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -51 + 9x = 21 + 0 -51 + 9x = 21 Add '51' to each side of the equation. -51 + 51 + 9x = 21 + 51 Combine like terms: -51 + 51 = 0 0 + 9x = 21 + 51 9x = 21 + 51 Combine like terms: 21 + 51 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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