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Simplifying 6x + 9 + -13x + 10 = 4 + -6x + -11 + 4 Reorder the terms: 9 + 10 + 6x + -13x = 4 + -6x + -11 + 4 Combine like terms: 9 + 10 = 19 19 + 6x + -13x = 4 + -6x + -11 + 4 Combine like terms: 6x + -13x = -7x 19 + -7x = 4 + -6x + -11 + 4 Reorder the terms: 19 + -7x = 4 + -11 + 4 + -6x Combine like terms: 4 + -11 = -7 19 + -7x = -7 + 4 + -6x Combine like terms: -7 + 4 = -3 19 + -7x = -3 + -6x Solving 19 + -7x = -3 + -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. 19 + -7x + 6x = -3 + -6x + 6x Combine like terms: -7x + 6x = -1x 19 + -1x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 19 + -1x = -3 + 0 19 + -1x = -3 Add '-19' to each side of the equation. 19 + -19 + -1x = -3 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = -3 + -19 -1x = -3 + -19 Combine like terms: -3 + -19 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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