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Simplifying -14 + 4(x + -5) + 6x = 2x + -50 Reorder the terms: -14 + 4(-5 + x) + 6x = 2x + -50 -14 + (-5 * 4 + x * 4) + 6x = 2x + -50 -14 + (-20 + 4x) + 6x = 2x + -50 Combine like terms: -14 + -20 = -34 -34 + 4x + 6x = 2x + -50 Combine like terms: 4x + 6x = 10x -34 + 10x = 2x + -50 Reorder the terms: -34 + 10x = -50 + 2x Solving -34 + 10x = -50 + 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. -34 + 10x + -2x = -50 + 2x + -2x Combine like terms: 10x + -2x = 8x -34 + 8x = -50 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + 8x = -50 + 0 -34 + 8x = -50 Add '34' to each side of the equation. -34 + 34 + 8x = -50 + 34 Combine like terms: -34 + 34 = 0 0 + 8x = -50 + 34 8x = -50 + 34 Combine like terms: -50 + 34 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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