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Simplifying 3x + -8(1 + 3x) = 40 + -5x 3x + (1 * -8 + 3x * -8) = 40 + -5x 3x + (-8 + -24x) = 40 + -5x Reorder the terms: -8 + 3x + -24x = 40 + -5x Combine like terms: 3x + -24x = -21x -8 + -21x = 40 + -5x Solving -8 + -21x = 40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + -21x + 5x = 40 + -5x + 5x Combine like terms: -21x + 5x = -16x -8 + -16x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + -16x = 40 + 0 -8 + -16x = 40 Add '8' to each side of the equation. -8 + 8 + -16x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = 40 + 8 -16x = 40 + 8 Combine like terms: 40 + 8 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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