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Simplifying 4x2 + 19x + -5 = 4x2 + 16x + 7 Reorder the terms: -5 + 19x + 4x2 = 4x2 + 16x + 7 Reorder the terms: -5 + 19x + 4x2 = 7 + 16x + 4x2 Add '-4x2' to each side of the equation. -5 + 19x + 4x2 + -4x2 = 7 + 16x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5 + 19x + 0 = 7 + 16x + 4x2 + -4x2 -5 + 19x = 7 + 16x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5 + 19x = 7 + 16x + 0 -5 + 19x = 7 + 16x Solving -5 + 19x = 7 + 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. -5 + 19x + -16x = 7 + 16x + -16x Combine like terms: 19x + -16x = 3x -5 + 3x = 7 + 16x + -16x Combine like terms: 16x + -16x = 0 -5 + 3x = 7 + 0 -5 + 3x = 7 Add '5' to each side of the equation. -5 + 5 + 3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 7 + 5 3x = 7 + 5 Combine like terms: 7 + 5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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