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