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Simplifying 15(6x + -45) = 67(3x + 11) Reorder the terms: 15(-45 + 6x) = 67(3x + 11) (-45 * 15 + 6x * 15) = 67(3x + 11) (-675 + 90x) = 67(3x + 11) Reorder the terms: -675 + 90x = 67(11 + 3x) -675 + 90x = (11 * 67 + 3x * 67) -675 + 90x = (737 + 201x) Solving -675 + 90x = 737 + 201x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-201x' to each side of the equation. -675 + 90x + -201x = 737 + 201x + -201x Combine like terms: 90x + -201x = -111x -675 + -111x = 737 + 201x + -201x Combine like terms: 201x + -201x = 0 -675 + -111x = 737 + 0 -675 + -111x = 737 Add '675' to each side of the equation. -675 + 675 + -111x = 737 + 675 Combine like terms: -675 + 675 = 0 0 + -111x = 737 + 675 -111x = 737 + 675 Combine like terms: 737 + 675 = 1412 -111x = 1412 Divide each side by '-111'. x = -12.72072072 Simplifying x = -12.72072072
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