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Simplifying 8(x + -3) + 2 = 5x + -4 Reorder the terms: 8(-3 + x) + 2 = 5x + -4 (-3 * 8 + x * 8) + 2 = 5x + -4 (-24 + 8x) + 2 = 5x + -4 Reorder the terms: -24 + 2 + 8x = 5x + -4 Combine like terms: -24 + 2 = -22 -22 + 8x = 5x + -4 Reorder the terms: -22 + 8x = -4 + 5x Solving -22 + 8x = -4 + 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. -22 + 8x + -5x = -4 + 5x + -5x Combine like terms: 8x + -5x = 3x -22 + 3x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + 3x = -4 + 0 -22 + 3x = -4 Add '22' to each side of the equation. -22 + 22 + 3x = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -4 + 22 3x = -4 + 22 Combine like terms: -4 + 22 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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