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Simplifying 4(2x + 1) + -3(x + -5) = -2 Reorder the terms: 4(1 + 2x) + -3(x + -5) = -2 (1 * 4 + 2x * 4) + -3(x + -5) = -2 (4 + 8x) + -3(x + -5) = -2 Reorder the terms: 4 + 8x + -3(-5 + x) = -2 4 + 8x + (-5 * -3 + x * -3) = -2 4 + 8x + (15 + -3x) = -2 Reorder the terms: 4 + 15 + 8x + -3x = -2 Combine like terms: 4 + 15 = 19 19 + 8x + -3x = -2 Combine like terms: 8x + -3x = 5x 19 + 5x = -2 Solving 19 + 5x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 5x = -2 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = -2 + -19 5x = -2 + -19 Combine like terms: -2 + -19 = -21 5x = -21 Divide each side by '5'. x = -4.2 Simplifying x = -4.2
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