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Simplifying 8x + 14 = 3(x + -2) + 10 Reorder the terms: 14 + 8x = 3(x + -2) + 10 Reorder the terms: 14 + 8x = 3(-2 + x) + 10 14 + 8x = (-2 * 3 + x * 3) + 10 14 + 8x = (-6 + 3x) + 10 Reorder the terms: 14 + 8x = -6 + 10 + 3x Combine like terms: -6 + 10 = 4 14 + 8x = 4 + 3x Solving 14 + 8x = 4 + 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. 14 + 8x + -3x = 4 + 3x + -3x Combine like terms: 8x + -3x = 5x 14 + 5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 5x = 4 + 0 14 + 5x = 4 Add '-14' to each side of the equation. 14 + -14 + 5x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 4 + -14 5x = 4 + -14 Combine like terms: 4 + -14 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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