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Simplifying 3x + -40 = 3(3x + 4) + 8 Reorder the terms: -40 + 3x = 3(3x + 4) + 8 Reorder the terms: -40 + 3x = 3(4 + 3x) + 8 -40 + 3x = (4 * 3 + 3x * 3) + 8 -40 + 3x = (12 + 9x) + 8 Reorder the terms: -40 + 3x = 12 + 8 + 9x Combine like terms: 12 + 8 = 20 -40 + 3x = 20 + 9x Solving -40 + 3x = 20 + 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. -40 + 3x + -9x = 20 + 9x + -9x Combine like terms: 3x + -9x = -6x -40 + -6x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + -6x = 20 + 0 -40 + -6x = 20 Add '40' to each side of the equation. -40 + 40 + -6x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -6x = 20 + 40 -6x = 20 + 40 Combine like terms: 20 + 40 = 60 -6x = 60 Divide each side by '-6'. x = -10 Simplifying x = -10
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