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Simplifying 5x + -19 + 13 = 2(x + 5) + -12 Reorder the terms: -19 + 13 + 5x = 2(x + 5) + -12 Combine like terms: -19 + 13 = -6 -6 + 5x = 2(x + 5) + -12 Reorder the terms: -6 + 5x = 2(5 + x) + -12 -6 + 5x = (5 * 2 + x * 2) + -12 -6 + 5x = (10 + 2x) + -12 Reorder the terms: -6 + 5x = 10 + -12 + 2x Combine like terms: 10 + -12 = -2 -6 + 5x = -2 + 2x Solving -6 + 5x = -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. -6 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = -2 + 0 -6 + 3x = -2 Add '6' to each side of the equation. -6 + 6 + 3x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -2 + 6 3x = -2 + 6 Combine like terms: -2 + 6 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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