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Simplifying 9x + 99 + 19x + -100 = 15x + 7 + -3x Reorder the terms: 99 + -100 + 9x + 19x = 15x + 7 + -3x Combine like terms: 99 + -100 = -1 -1 + 9x + 19x = 15x + 7 + -3x Combine like terms: 9x + 19x = 28x -1 + 28x = 15x + 7 + -3x Reorder the terms: -1 + 28x = 7 + 15x + -3x Combine like terms: 15x + -3x = 12x -1 + 28x = 7 + 12x Solving -1 + 28x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 28x + -12x = 7 + 12x + -12x Combine like terms: 28x + -12x = 16x -1 + 16x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + 16x = 7 + 0 -1 + 16x = 7 Add '1' to each side of the equation. -1 + 1 + 16x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 16x = 7 + 1 16x = 7 + 1 Combine like terms: 7 + 1 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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