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Simplifying 3(2x + -5) + -5 = 3(x + -3) + 13 Reorder the terms: 3(-5 + 2x) + -5 = 3(x + -3) + 13 (-5 * 3 + 2x * 3) + -5 = 3(x + -3) + 13 (-15 + 6x) + -5 = 3(x + -3) + 13 Reorder the terms: -15 + -5 + 6x = 3(x + -3) + 13 Combine like terms: -15 + -5 = -20 -20 + 6x = 3(x + -3) + 13 Reorder the terms: -20 + 6x = 3(-3 + x) + 13 -20 + 6x = (-3 * 3 + x * 3) + 13 -20 + 6x = (-9 + 3x) + 13 Reorder the terms: -20 + 6x = -9 + 13 + 3x Combine like terms: -9 + 13 = 4 -20 + 6x = 4 + 3x Solving -20 + 6x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x -20 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 3x = 4 + 0 -20 + 3x = 4 Add '20' to each side of the equation. -20 + 20 + 3x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 4 + 20 3x = 4 + 20 Combine like terms: 4 + 20 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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