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Simplifying 6x + 10x + -9x = 19 + -16x + 13x + -9 Combine like terms: 6x + 10x = 16x 16x + -9x = 19 + -16x + 13x + -9 Combine like terms: 16x + -9x = 7x 7x = 19 + -16x + 13x + -9 Reorder the terms: 7x = 19 + -9 + -16x + 13x Combine like terms: 19 + -9 = 10 7x = 10 + -16x + 13x Combine like terms: -16x + 13x = -3x 7x = 10 + -3x Solving 7x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7x + 3x = 10 + -3x + 3x Combine like terms: 7x + 3x = 10x 10x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 10x = 10 + 0 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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