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Simplifying 3(2x + -8) + 4x = 5x + -8(2x + -1) Reorder the terms: 3(-8 + 2x) + 4x = 5x + -8(2x + -1) (-8 * 3 + 2x * 3) + 4x = 5x + -8(2x + -1) (-24 + 6x) + 4x = 5x + -8(2x + -1) Combine like terms: 6x + 4x = 10x -24 + 10x = 5x + -8(2x + -1) Reorder the terms: -24 + 10x = 5x + -8(-1 + 2x) -24 + 10x = 5x + (-1 * -8 + 2x * -8) -24 + 10x = 5x + (8 + -16x) Reorder the terms: -24 + 10x = 8 + 5x + -16x Combine like terms: 5x + -16x = -11x -24 + 10x = 8 + -11x Solving -24 + 10x = 8 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -24 + 10x + 11x = 8 + -11x + 11x Combine like terms: 10x + 11x = 21x -24 + 21x = 8 + -11x + 11x Combine like terms: -11x + 11x = 0 -24 + 21x = 8 + 0 -24 + 21x = 8 Add '24' to each side of the equation. -24 + 24 + 21x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 21x = 8 + 24 21x = 8 + 24 Combine like terms: 8 + 24 = 32 21x = 32 Divide each side by '21'. x = 1.523809524 Simplifying x = 1.523809524
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