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Simplifying 2(3x + -8) + 2 = 3(4x + -8) + -5x Reorder the terms: 2(-8 + 3x) + 2 = 3(4x + -8) + -5x (-8 * 2 + 3x * 2) + 2 = 3(4x + -8) + -5x (-16 + 6x) + 2 = 3(4x + -8) + -5x Reorder the terms: -16 + 2 + 6x = 3(4x + -8) + -5x Combine like terms: -16 + 2 = -14 -14 + 6x = 3(4x + -8) + -5x Reorder the terms: -14 + 6x = 3(-8 + 4x) + -5x -14 + 6x = (-8 * 3 + 4x * 3) + -5x -14 + 6x = (-24 + 12x) + -5x Combine like terms: 12x + -5x = 7x -14 + 6x = -24 + 7x Solving -14 + 6x = -24 + 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. -14 + 6x + -7x = -24 + 7x + -7x Combine like terms: 6x + -7x = -1x -14 + -1x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -1x = -24 + 0 -14 + -1x = -24 Add '14' to each side of the equation. -14 + 14 + -1x = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -24 + 14 -1x = -24 + 14 Combine like terms: -24 + 14 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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