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Simplifying 4(2x + 5) + -3(x + 10) = -15 Reorder the terms: 4(5 + 2x) + -3(x + 10) = -15 (5 * 4 + 2x * 4) + -3(x + 10) = -15 (20 + 8x) + -3(x + 10) = -15 Reorder the terms: 20 + 8x + -3(10 + x) = -15 20 + 8x + (10 * -3 + x * -3) = -15 20 + 8x + (-30 + -3x) = -15 Reorder the terms: 20 + -30 + 8x + -3x = -15 Combine like terms: 20 + -30 = -10 -10 + 8x + -3x = -15 Combine like terms: 8x + -3x = 5x -10 + 5x = -15 Solving -10 + 5x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = -15 + 10 5x = -15 + 10 Combine like terms: -15 + 10 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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