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Simplifying 8(x + -2) + 4x = 9(x + 5) + -22 Reorder the terms: 8(-2 + x) + 4x = 9(x + 5) + -22 (-2 * 8 + x * 8) + 4x = 9(x + 5) + -22 (-16 + 8x) + 4x = 9(x + 5) + -22 Combine like terms: 8x + 4x = 12x -16 + 12x = 9(x + 5) + -22 Reorder the terms: -16 + 12x = 9(5 + x) + -22 -16 + 12x = (5 * 9 + x * 9) + -22 -16 + 12x = (45 + 9x) + -22 Reorder the terms: -16 + 12x = 45 + -22 + 9x Combine like terms: 45 + -22 = 23 -16 + 12x = 23 + 9x Solving -16 + 12x = 23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 12x + -9x = 23 + 9x + -9x Combine like terms: 12x + -9x = 3x -16 + 3x = 23 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + 3x = 23 + 0 -16 + 3x = 23 Add '16' to each side of the equation. -16 + 16 + 3x = 23 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 23 + 16 3x = 23 + 16 Combine like terms: 23 + 16 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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