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Simplifying 2(3x + -8) + -4x = 5(8 + -1x) Reorder the terms: 2(-8 + 3x) + -4x = 5(8 + -1x) (-8 * 2 + 3x * 2) + -4x = 5(8 + -1x) (-16 + 6x) + -4x = 5(8 + -1x) Combine like terms: 6x + -4x = 2x -16 + 2x = 5(8 + -1x) -16 + 2x = (8 * 5 + -1x * 5) -16 + 2x = (40 + -5x) Solving -16 + 2x = 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. -16 + 2x + 5x = 40 + -5x + 5x Combine like terms: 2x + 5x = 7x -16 + 7x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 7x = 40 + 0 -16 + 7x = 40 Add '16' to each side of the equation. -16 + 16 + 7x = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 40 + 16 7x = 40 + 16 Combine like terms: 40 + 16 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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