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Simplifying 5x + 6 = 2(3x + -5) + 13 Reorder the terms: 6 + 5x = 2(3x + -5) + 13 Reorder the terms: 6 + 5x = 2(-5 + 3x) + 13 6 + 5x = (-5 * 2 + 3x * 2) + 13 6 + 5x = (-10 + 6x) + 13 Reorder the terms: 6 + 5x = -10 + 13 + 6x Combine like terms: -10 + 13 = 3 6 + 5x = 3 + 6x Solving 6 + 5x = 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. 6 + 5x + -6x = 3 + 6x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = 3 + 0 6 + -1x = 3 Add '-6' to each side of the equation. 6 + -6 + -1x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 3 + -6 -1x = 3 + -6 Combine like terms: 3 + -6 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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