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