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Simplifying -8(2x + 3) + 5x = 4x + 7x + -2 Reorder the terms: -8(3 + 2x) + 5x = 4x + 7x + -2 (3 * -8 + 2x * -8) + 5x = 4x + 7x + -2 (-24 + -16x) + 5x = 4x + 7x + -2 Combine like terms: -16x + 5x = -11x -24 + -11x = 4x + 7x + -2 Reorder the terms: -24 + -11x = -2 + 4x + 7x Combine like terms: 4x + 7x = 11x -24 + -11x = -2 + 11x Solving -24 + -11x = -2 + 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 + -11x + -11x = -2 + 11x + -11x Combine like terms: -11x + -11x = -22x -24 + -22x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + -22x = -2 + 0 -24 + -22x = -2 Add '24' to each side of the equation. -24 + 24 + -22x = -2 + 24 Combine like terms: -24 + 24 = 0 0 + -22x = -2 + 24 -22x = -2 + 24 Combine like terms: -2 + 24 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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