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Simplifying 38 = -2x + 3(5x + -9) Reorder the terms: 38 = -2x + 3(-9 + 5x) 38 = -2x + (-9 * 3 + 5x * 3) 38 = -2x + (-27 + 15x) Reorder the terms: 38 = -27 + -2x + 15x Combine like terms: -2x + 15x = 13x 38 = -27 + 13x Solving 38 = -27 + 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 = -27 + 13x + -13x Combine like terms: 13x + -13x = 0 38 + -13x = -27 + 0 38 + -13x = -27 Add '-38' to each side of the equation. 38 + -38 + -13x = -27 + -38 Combine like terms: 38 + -38 = 0 0 + -13x = -27 + -38 -13x = -27 + -38 Combine like terms: -27 + -38 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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