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Simplifying 3x + -5(x + -4) = -6 + 4x + 14 Reorder the terms: 3x + -5(-4 + x) = -6 + 4x + 14 3x + (-4 * -5 + x * -5) = -6 + 4x + 14 3x + (20 + -5x) = -6 + 4x + 14 Reorder the terms: 20 + 3x + -5x = -6 + 4x + 14 Combine like terms: 3x + -5x = -2x 20 + -2x = -6 + 4x + 14 Reorder the terms: 20 + -2x = -6 + 14 + 4x Combine like terms: -6 + 14 = 8 20 + -2x = 8 + 4x Solving 20 + -2x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -2x + -4x = 8 + 4x + -4x Combine like terms: -2x + -4x = -6x 20 + -6x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -6x = 8 + 0 20 + -6x = 8 Add '-20' to each side of the equation. 20 + -20 + -6x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 8 + -20 -6x = 8 + -20 Combine like terms: 8 + -20 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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