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Simplifying 4 + 5(x + -3) = 8 + -2(x + -4) Reorder the terms: 4 + 5(-3 + x) = 8 + -2(x + -4) 4 + (-3 * 5 + x * 5) = 8 + -2(x + -4) 4 + (-15 + 5x) = 8 + -2(x + -4) Combine like terms: 4 + -15 = -11 -11 + 5x = 8 + -2(x + -4) Reorder the terms: -11 + 5x = 8 + -2(-4 + x) -11 + 5x = 8 + (-4 * -2 + x * -2) -11 + 5x = 8 + (8 + -2x) Combine like terms: 8 + 8 = 16 -11 + 5x = 16 + -2x Solving -11 + 5x = 16 + -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. -11 + 5x + 2x = 16 + -2x + 2x Combine like terms: 5x + 2x = 7x -11 + 7x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 7x = 16 + 0 -11 + 7x = 16 Add '11' to each side of the equation. -11 + 11 + 7x = 16 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 16 + 11 7x = 16 + 11 Combine like terms: 16 + 11 = 27 7x = 27 Divide each side by '7'. x = 3.857142857 Simplifying x = 3.857142857
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