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Simplifying -3(x + 6) = 4x + 17 Reorder the terms: -3(6 + x) = 4x + 17 (6 * -3 + x * -3) = 4x + 17 (-18 + -3x) = 4x + 17 Reorder the terms: -18 + -3x = 17 + 4x Solving -18 + -3x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + -3x + -4x = 17 + 4x + -4x Combine like terms: -3x + -4x = -7x -18 + -7x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + -7x = 17 + 0 -18 + -7x = 17 Add '18' to each side of the equation. -18 + 18 + -7x = 17 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = 17 + 18 -7x = 17 + 18 Combine like terms: 17 + 18 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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