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Simplifying 8(x + 3) + -5(x + 2) = 22 + -1x Reorder the terms: 8(3 + x) + -5(x + 2) = 22 + -1x (3 * 8 + x * 8) + -5(x + 2) = 22 + -1x (24 + 8x) + -5(x + 2) = 22 + -1x Reorder the terms: 24 + 8x + -5(2 + x) = 22 + -1x 24 + 8x + (2 * -5 + x * -5) = 22 + -1x 24 + 8x + (-10 + -5x) = 22 + -1x Reorder the terms: 24 + -10 + 8x + -5x = 22 + -1x Combine like terms: 24 + -10 = 14 14 + 8x + -5x = 22 + -1x Combine like terms: 8x + -5x = 3x 14 + 3x = 22 + -1x Solving 14 + 3x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + 3x + x = 22 + -1x + x Combine like terms: 3x + x = 4x 14 + 4x = 22 + -1x + x Combine like terms: -1x + x = 0 14 + 4x = 22 + 0 14 + 4x = 22 Add '-14' to each side of the equation. 14 + -14 + 4x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 22 + -14 4x = 22 + -14 Combine like terms: 22 + -14 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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