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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 = -50 -50 + 8x + -3x = -15 Combine like terms: 8x + -3x = 5x -50 + 5x = -15 Solving -50 + 5x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 5x = -15 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = -15 + 50 5x = -15 + 50 Combine like terms: -15 + 50 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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