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Simplifying 3x + -4(2x + 5) = 3(x + -2) + 10 Reorder the terms: 3x + -4(5 + 2x) = 3(x + -2) + 10 3x + (5 * -4 + 2x * -4) = 3(x + -2) + 10 3x + (-20 + -8x) = 3(x + -2) + 10 Reorder the terms: -20 + 3x + -8x = 3(x + -2) + 10 Combine like terms: 3x + -8x = -5x -20 + -5x = 3(x + -2) + 10 Reorder the terms: -20 + -5x = 3(-2 + x) + 10 -20 + -5x = (-2 * 3 + x * 3) + 10 -20 + -5x = (-6 + 3x) + 10 Reorder the terms: -20 + -5x = -6 + 10 + 3x Combine like terms: -6 + 10 = 4 -20 + -5x = 4 + 3x Solving -20 + -5x = 4 + 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. -20 + -5x + -3x = 4 + 3x + -3x Combine like terms: -5x + -3x = -8x -20 + -8x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -8x = 4 + 0 -20 + -8x = 4 Add '20' to each side of the equation. -20 + 20 + -8x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = 4 + 20 -8x = 4 + 20 Combine like terms: 4 + 20 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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