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Simplifying 5(x + -4) + 2(x + 1) = 3(2 + -4) Reorder the terms: 5(-4 + x) + 2(x + 1) = 3(2 + -4) (-4 * 5 + x * 5) + 2(x + 1) = 3(2 + -4) (-20 + 5x) + 2(x + 1) = 3(2 + -4) Reorder the terms: -20 + 5x + 2(1 + x) = 3(2 + -4) -20 + 5x + (1 * 2 + x * 2) = 3(2 + -4) -20 + 5x + (2 + 2x) = 3(2 + -4) Reorder the terms: -20 + 2 + 5x + 2x = 3(2 + -4) Combine like terms: -20 + 2 = -18 -18 + 5x + 2x = 3(2 + -4) Combine like terms: 5x + 2x = 7x -18 + 7x = 3(2 + -4) Combine like terms: 2 + -4 = -2 -18 + 7x = 3(-2) Multiply 3 * -2 -18 + 7x = -6 Solving -18 + 7x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = -6 + 18 7x = -6 + 18 Combine like terms: -6 + 18 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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