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Simplifying 5(x + -2) + 38 = -3x Reorder the terms: 5(-2 + x) + 38 = -3x (-2 * 5 + x * 5) + 38 = -3x (-10 + 5x) + 38 = -3x Reorder the terms: -10 + 38 + 5x = -3x Combine like terms: -10 + 38 = 28 28 + 5x = -3x Solving 28 + 5x = -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. 28 + 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 28 + 8x = -3x + 3x Combine like terms: -3x + 3x = 0 28 + 8x = 0 Add '-28' to each side of the equation. 28 + -28 + 8x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 0 + -28 8x = 0 + -28 Combine like terms: 0 + -28 = -28 8x = -28 Divide each side by '8'. x = -3.5 Simplifying x = -3.5
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