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Simplifying 3(5x + -8) = -2(4 + -3x) + x Reorder the terms: 3(-8 + 5x) = -2(4 + -3x) + x (-8 * 3 + 5x * 3) = -2(4 + -3x) + x (-24 + 15x) = -2(4 + -3x) + x -24 + 15x = (4 * -2 + -3x * -2) + x -24 + 15x = (-8 + 6x) + x Combine like terms: 6x + x = 7x -24 + 15x = -8 + 7x Solving -24 + 15x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 15x + -7x = -8 + 7x + -7x Combine like terms: 15x + -7x = 8x -24 + 8x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 8x = -8 + 0 -24 + 8x = -8 Add '24' to each side of the equation. -24 + 24 + 8x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = -8 + 24 8x = -8 + 24 Combine like terms: -8 + 24 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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