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Simplifying 5(x + -2) + 74 = -3x Reorder the terms: 5(-2 + x) + 74 = -3x (-2 * 5 + x * 5) + 74 = -3x (-10 + 5x) + 74 = -3x Reorder the terms: -10 + 74 + 5x = -3x Combine like terms: -10 + 74 = 64 64 + 5x = -3x Solving 64 + 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. 64 + 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 64 + 8x = -3x + 3x Combine like terms: -3x + 3x = 0 64 + 8x = 0 Add '-64' to each side of the equation. 64 + -64 + 8x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 8x = 0 + -64 8x = 0 + -64 Combine like terms: 0 + -64 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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