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Simplifying 4(3x + -4) + -5x = 8 + -2x Reorder the terms: 4(-4 + 3x) + -5x = 8 + -2x (-4 * 4 + 3x * 4) + -5x = 8 + -2x (-16 + 12x) + -5x = 8 + -2x Combine like terms: 12x + -5x = 7x -16 + 7x = 8 + -2x Solving -16 + 7x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 7x + 2x = 8 + -2x + 2x Combine like terms: 7x + 2x = 9x -16 + 9x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 9x = 8 + 0 -16 + 9x = 8 Add '16' to each side of the equation. -16 + 16 + 9x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 8 + 16 9x = 8 + 16 Combine like terms: 8 + 16 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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