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Simplifying 2(4x + 5) + -3x = 3(x + -2) + 8 Reorder the terms: 2(5 + 4x) + -3x = 3(x + -2) + 8 (5 * 2 + 4x * 2) + -3x = 3(x + -2) + 8 (10 + 8x) + -3x = 3(x + -2) + 8 Combine like terms: 8x + -3x = 5x 10 + 5x = 3(x + -2) + 8 Reorder the terms: 10 + 5x = 3(-2 + x) + 8 10 + 5x = (-2 * 3 + x * 3) + 8 10 + 5x = (-6 + 3x) + 8 Reorder the terms: 10 + 5x = -6 + 8 + 3x Combine like terms: -6 + 8 = 2 10 + 5x = 2 + 3x Solving 10 + 5x = 2 + 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. 10 + 5x + -3x = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 2 + 0 10 + 2x = 2 Add '-10' to each side of the equation. 10 + -10 + 2x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 2 + -10 2x = 2 + -10 Combine like terms: 2 + -10 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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