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Simplifying 5x + -19 + 13x = 2(x + 5) + -12 Reorder the terms: -19 + 5x + 13x = 2(x + 5) + -12 Combine like terms: 5x + 13x = 18x -19 + 18x = 2(x + 5) + -12 Reorder the terms: -19 + 18x = 2(5 + x) + -12 -19 + 18x = (5 * 2 + x * 2) + -12 -19 + 18x = (10 + 2x) + -12 Reorder the terms: -19 + 18x = 10 + -12 + 2x Combine like terms: 10 + -12 = -2 -19 + 18x = -2 + 2x Solving -19 + 18x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -19 + 18x + -2x = -2 + 2x + -2x Combine like terms: 18x + -2x = 16x -19 + 16x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 16x = -2 + 0 -19 + 16x = -2 Add '19' to each side of the equation. -19 + 19 + 16x = -2 + 19 Combine like terms: -19 + 19 = 0 0 + 16x = -2 + 19 16x = -2 + 19 Combine like terms: -2 + 19 = 17 16x = 17 Divide each side by '16'. x = 1.0625 Simplifying x = 1.0625
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