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Simplifying 3x + -4(x + 5) = 15 + -45 Reorder the terms: 3x + -4(5 + x) = 15 + -45 3x + (5 * -4 + x * -4) = 15 + -45 3x + (-20 + -4x) = 15 + -45 Reorder the terms: -20 + 3x + -4x = 15 + -45 Combine like terms: 3x + -4x = -1x -20 + -1x = 15 + -45 Combine like terms: 15 + -45 = -30 -20 + -1x = -30 Solving -20 + -1x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -30 + 20 -1x = -30 + 20 Combine like terms: -30 + 20 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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