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Simplifying 5x + -3 = 6(x + 1) + 13x + 6 Reorder the terms: -3 + 5x = 6(x + 1) + 13x + 6 Reorder the terms: -3 + 5x = 6(1 + x) + 13x + 6 -3 + 5x = (1 * 6 + x * 6) + 13x + 6 -3 + 5x = (6 + 6x) + 13x + 6 Reorder the terms: -3 + 5x = 6 + 6 + 6x + 13x Combine like terms: 6 + 6 = 12 -3 + 5x = 12 + 6x + 13x Combine like terms: 6x + 13x = 19x -3 + 5x = 12 + 19x Solving -3 + 5x = 12 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -3 + 5x + -19x = 12 + 19x + -19x Combine like terms: 5x + -19x = -14x -3 + -14x = 12 + 19x + -19x Combine like terms: 19x + -19x = 0 -3 + -14x = 12 + 0 -3 + -14x = 12 Add '3' to each side of the equation. -3 + 3 + -14x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = 12 + 3 -14x = 12 + 3 Combine like terms: 12 + 3 = 15 -14x = 15 Divide each side by '-14'. x = -1.071428571 Simplifying x = -1.071428571
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