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Simplifying 2(x + -5) = 3 + -1(4 + x) Reorder the terms: 2(-5 + x) = 3 + -1(4 + x) (-5 * 2 + x * 2) = 3 + -1(4 + x) (-10 + 2x) = 3 + -1(4 + x) -10 + 2x = 3 + (4 * -1 + x * -1) -10 + 2x = 3 + (-4 + -1x) Combine like terms: 3 + -4 = -1 -10 + 2x = -1 + -1x Solving -10 + 2x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 2x + x = -1 + -1x + x Combine like terms: 2x + x = 3x -10 + 3x = -1 + -1x + x Combine like terms: -1x + x = 0 -10 + 3x = -1 + 0 -10 + 3x = -1 Add '10' to each side of the equation. -10 + 10 + 3x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -1 + 10 3x = -1 + 10 Combine like terms: -1 + 10 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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