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Simplifying 4x + -14 + 4 = 5(4x + -4) + 4 Reorder the terms: -14 + 4 + 4x = 5(4x + -4) + 4 Combine like terms: -14 + 4 = -10 -10 + 4x = 5(4x + -4) + 4 Reorder the terms: -10 + 4x = 5(-4 + 4x) + 4 -10 + 4x = (-4 * 5 + 4x * 5) + 4 -10 + 4x = (-20 + 20x) + 4 Reorder the terms: -10 + 4x = -20 + 4 + 20x Combine like terms: -20 + 4 = -16 -10 + 4x = -16 + 20x Solving -10 + 4x = -16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -10 + 4x + -20x = -16 + 20x + -20x Combine like terms: 4x + -20x = -16x -10 + -16x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 -10 + -16x = -16 + 0 -10 + -16x = -16 Add '10' to each side of the equation. -10 + 10 + -16x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -16x = -16 + 10 -16x = -16 + 10 Combine like terms: -16 + 10 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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