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Simplifying 3x + -1(2x + 5) = 6x + -40 Reorder the terms: 3x + -1(5 + 2x) = 6x + -40 3x + (5 * -1 + 2x * -1) = 6x + -40 3x + (-5 + -2x) = 6x + -40 Reorder the terms: -5 + 3x + -2x = 6x + -40 Combine like terms: 3x + -2x = 1x -5 + 1x = 6x + -40 Reorder the terms: -5 + 1x = -40 + 6x Solving -5 + 1x = -40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 1x + -6x = -40 + 6x + -6x Combine like terms: 1x + -6x = -5x -5 + -5x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -5x = -40 + 0 -5 + -5x = -40 Add '5' to each side of the equation. -5 + 5 + -5x = -40 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -40 + 5 -5x = -40 + 5 Combine like terms: -40 + 5 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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