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Simplifying -38 = 2(x + 3) + -5(x + 1) Reorder the terms: -38 = 2(3 + x) + -5(x + 1) -38 = (3 * 2 + x * 2) + -5(x + 1) -38 = (6 + 2x) + -5(x + 1) Reorder the terms: -38 = 6 + 2x + -5(1 + x) -38 = 6 + 2x + (1 * -5 + x * -5) -38 = 6 + 2x + (-5 + -5x) Reorder the terms: -38 = 6 + -5 + 2x + -5x Combine like terms: 6 + -5 = 1 -38 = 1 + 2x + -5x Combine like terms: 2x + -5x = -3x -38 = 1 + -3x Solving -38 = 1 + -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. -38 + 3x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + 3x = 1 + 0 -38 + 3x = 1 Add '38' to each side of the equation. -38 + 38 + 3x = 1 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = 1 + 38 3x = 1 + 38 Combine like terms: 1 + 38 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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