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Simplifying 5(3 + -2x) + 3 = -38 (3 * 5 + -2x * 5) + 3 = -38 (15 + -10x) + 3 = -38 Reorder the terms: 15 + 3 + -10x = -38 Combine like terms: 15 + 3 = 18 18 + -10x = -38 Solving 18 + -10x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -10x = -38 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = -38 + -18 -10x = -38 + -18 Combine like terms: -38 + -18 = -56 -10x = -56 Divide each side by '-10'. x = 5.6 Simplifying x = 5.6
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