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Simplifying 4x + -15 = 5x + 11 + 5x + 5 + 6x + 19 Reorder the terms: -15 + 4x = 5x + 11 + 5x + 5 + 6x + 19 Reorder the terms: -15 + 4x = 11 + 5 + 19 + 5x + 5x + 6x Combine like terms: 11 + 5 = 16 -15 + 4x = 16 + 19 + 5x + 5x + 6x Combine like terms: 16 + 19 = 35 -15 + 4x = 35 + 5x + 5x + 6x Combine like terms: 5x + 5x = 10x -15 + 4x = 35 + 10x + 6x Combine like terms: 10x + 6x = 16x -15 + 4x = 35 + 16x Solving -15 + 4x = 35 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -15 + 4x + -16x = 35 + 16x + -16x Combine like terms: 4x + -16x = -12x -15 + -12x = 35 + 16x + -16x Combine like terms: 16x + -16x = 0 -15 + -12x = 35 + 0 -15 + -12x = 35 Add '15' to each side of the equation. -15 + 15 + -12x = 35 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = 35 + 15 -12x = 35 + 15 Combine like terms: 35 + 15 = 50 -12x = 50 Divide each side by '-12'. x = -4.166666667 Simplifying x = -4.166666667
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