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Simplifying -14x + 2(x + -5) + 8x = 5x + -46 Reorder the terms: -14x + 2(-5 + x) + 8x = 5x + -46 -14x + (-5 * 2 + x * 2) + 8x = 5x + -46 -14x + (-10 + 2x) + 8x = 5x + -46 Reorder the terms: -10 + -14x + 2x + 8x = 5x + -46 Combine like terms: -14x + 2x = -12x -10 + -12x + 8x = 5x + -46 Combine like terms: -12x + 8x = -4x -10 + -4x = 5x + -46 Reorder the terms: -10 + -4x = -46 + 5x Solving -10 + -4x = -46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + -4x + -5x = -46 + 5x + -5x Combine like terms: -4x + -5x = -9x -10 + -9x = -46 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -9x = -46 + 0 -10 + -9x = -46 Add '10' to each side of the equation. -10 + 10 + -9x = -46 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -46 + 10 -9x = -46 + 10 Combine like terms: -46 + 10 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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