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Simplifying 5x + -14 = 3x + 8 + -1(x + -8) Reorder the terms: -14 + 5x = 3x + 8 + -1(x + -8) Reorder the terms: -14 + 5x = 3x + 8 + -1(-8 + x) -14 + 5x = 3x + 8 + (-8 * -1 + x * -1) -14 + 5x = 3x + 8 + (8 + -1x) Reorder the terms: -14 + 5x = 8 + 8 + 3x + -1x Combine like terms: 8 + 8 = 16 -14 + 5x = 16 + 3x + -1x Combine like terms: 3x + -1x = 2x -14 + 5x = 16 + 2x Solving -14 + 5x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 5x + -2x = 16 + 2x + -2x Combine like terms: 5x + -2x = 3x -14 + 3x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 3x = 16 + 0 -14 + 3x = 16 Add '14' to each side of the equation. -14 + 14 + 3x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 16 + 14 3x = 16 + 14 Combine like terms: 16 + 14 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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