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Simplifying 8 + x = 3(x + -8) + 2 Reorder the terms: 8 + x = 3(-8 + x) + 2 8 + x = (-8 * 3 + x * 3) + 2 8 + x = (-24 + 3x) + 2 Reorder the terms: 8 + x = -24 + 2 + 3x Combine like terms: -24 + 2 = -22 8 + x = -22 + 3x Solving 8 + x = -22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + x + -3x = -22 + 3x + -3x Combine like terms: x + -3x = -2x 8 + -2x = -22 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -2x = -22 + 0 8 + -2x = -22 Add '-8' to each side of the equation. 8 + -8 + -2x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -22 + -8 -2x = -22 + -8 Combine like terms: -22 + -8 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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