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Simplifying 8x + -40 = 4x + 4(5x + 2) Reorder the terms: -40 + 8x = 4x + 4(5x + 2) Reorder the terms: -40 + 8x = 4x + 4(2 + 5x) -40 + 8x = 4x + (2 * 4 + 5x * 4) -40 + 8x = 4x + (8 + 20x) Reorder the terms: -40 + 8x = 8 + 4x + 20x Combine like terms: 4x + 20x = 24x -40 + 8x = 8 + 24x Solving -40 + 8x = 8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -40 + 8x + -24x = 8 + 24x + -24x Combine like terms: 8x + -24x = -16x -40 + -16x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 -40 + -16x = 8 + 0 -40 + -16x = 8 Add '40' to each side of the equation. -40 + 40 + -16x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -16x = 8 + 40 -16x = 8 + 40 Combine like terms: 8 + 40 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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