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Simplifying 8(x + -3) + -18 = 5x + -22 Reorder the terms: 8(-3 + x) + -18 = 5x + -22 (-3 * 8 + x * 8) + -18 = 5x + -22 (-24 + 8x) + -18 = 5x + -22 Reorder the terms: -24 + -18 + 8x = 5x + -22 Combine like terms: -24 + -18 = -42 -42 + 8x = 5x + -22 Reorder the terms: -42 + 8x = -22 + 5x Solving -42 + 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. -42 + 8x + -5x = -22 + 5x + -5x Combine like terms: 8x + -5x = 3x -42 + 3x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 3x = -22 + 0 -42 + 3x = -22 Add '42' to each side of the equation. -42 + 42 + 3x = -22 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = -22 + 42 3x = -22 + 42 Combine like terms: -22 + 42 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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