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Simplifying 4x + 5(-3 + -6x) = -40 + -1x 4x + (-3 * 5 + -6x * 5) = -40 + -1x 4x + (-15 + -30x) = -40 + -1x Reorder the terms: -15 + 4x + -30x = -40 + -1x Combine like terms: 4x + -30x = -26x -15 + -26x = -40 + -1x Solving -15 + -26x = -40 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + -26x + x = -40 + -1x + x Combine like terms: -26x + x = -25x -15 + -25x = -40 + -1x + x Combine like terms: -1x + x = 0 -15 + -25x = -40 + 0 -15 + -25x = -40 Add '15' to each side of the equation. -15 + 15 + -25x = -40 + 15 Combine like terms: -15 + 15 = 0 0 + -25x = -40 + 15 -25x = -40 + 15 Combine like terms: -40 + 15 = -25 -25x = -25 Divide each side by '-25'. x = 1 Simplifying x = 1
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