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Simplifying 6x + -19 = 9x + -40 Reorder the terms: -19 + 6x = 9x + -40 Reorder the terms: -19 + 6x = -40 + 9x Solving -19 + 6x = -40 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -19 + 6x + -9x = -40 + 9x + -9x Combine like terms: 6x + -9x = -3x -19 + -3x = -40 + 9x + -9x Combine like terms: 9x + -9x = 0 -19 + -3x = -40 + 0 -19 + -3x = -40 Add '19' to each side of the equation. -19 + 19 + -3x = -40 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = -40 + 19 -3x = -40 + 19 Combine like terms: -40 + 19 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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