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Simplifying 8(x + -3) + 8 = 5x + 22 Reorder the terms: 8(-3 + x) + 8 = 5x + 22 (-3 * 8 + x * 8) + 8 = 5x + 22 (-24 + 8x) + 8 = 5x + 22 Reorder the terms: -24 + 8 + 8x = 5x + 22 Combine like terms: -24 + 8 = -16 -16 + 8x = 5x + 22 Reorder the terms: -16 + 8x = 22 + 5x Solving -16 + 8x = 22 + 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 + 8x + -5x = 22 + 5x + -5x Combine like terms: 8x + -5x = 3x -16 + 3x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 3x = 22 + 0 -16 + 3x = 22 Add '16' to each side of the equation. -16 + 16 + 3x = 22 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 22 + 16 3x = 22 + 16 Combine like terms: 22 + 16 = 38 3x = 38 Divide each side by '3'. x = 12.66666667 Simplifying x = 12.66666667
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