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