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Simplifying 38 = 5(2x + -3) + 3x + 1 Reorder the terms: 38 = 5(-3 + 2x) + 3x + 1 38 = (-3 * 5 + 2x * 5) + 3x + 1 38 = (-15 + 10x) + 3x + 1 Reorder the terms: 38 = -15 + 1 + 10x + 3x Combine like terms: -15 + 1 = -14 38 = -14 + 10x + 3x Combine like terms: 10x + 3x = 13x 38 = -14 + 13x Solving 38 = -14 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 38 + -13x = -14 + 13x + -13x Combine like terms: 13x + -13x = 0 38 + -13x = -14 + 0 38 + -13x = -14 Add '-38' to each side of the equation. 38 + -38 + -13x = -14 + -38 Combine like terms: 38 + -38 = 0 0 + -13x = -14 + -38 -13x = -14 + -38 Combine like terms: -14 + -38 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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