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Simplifying 2 + 5(x + -4) = 4 + -2(x + -7) Reorder the terms: 2 + 5(-4 + x) = 4 + -2(x + -7) 2 + (-4 * 5 + x * 5) = 4 + -2(x + -7) 2 + (-20 + 5x) = 4 + -2(x + -7) Combine like terms: 2 + -20 = -18 -18 + 5x = 4 + -2(x + -7) Reorder the terms: -18 + 5x = 4 + -2(-7 + x) -18 + 5x = 4 + (-7 * -2 + x * -2) -18 + 5x = 4 + (14 + -2x) Combine like terms: 4 + 14 = 18 -18 + 5x = 18 + -2x Solving -18 + 5x = 18 + -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. -18 + 5x + 2x = 18 + -2x + 2x Combine like terms: 5x + 2x = 7x -18 + 7x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 7x = 18 + 0 -18 + 7x = 18 Add '18' to each side of the equation. -18 + 18 + 7x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 18 + 18 7x = 18 + 18 Combine like terms: 18 + 18 = 36 7x = 36 Divide each side by '7'. x = 5.142857143 Simplifying x = 5.142857143
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