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Simplifying 9 + -5x = 19 + -1(6x + 4) Reorder the terms: 9 + -5x = 19 + -1(4 + 6x) 9 + -5x = 19 + (4 * -1 + 6x * -1) 9 + -5x = 19 + (-4 + -6x) Combine like terms: 19 + -4 = 15 9 + -5x = 15 + -6x Solving 9 + -5x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + -5x + 6x = 15 + -6x + 6x Combine like terms: -5x + 6x = 1x 9 + 1x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 1x = 15 + 0 9 + 1x = 15 Add '-9' to each side of the equation. 9 + -9 + 1x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 15 + -9 1x = 15 + -9 Combine like terms: 15 + -9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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