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Simplifying 2(x + -4) + 4 = 5(9 + -1x) Reorder the terms: 2(-4 + x) + 4 = 5(9 + -1x) (-4 * 2 + x * 2) + 4 = 5(9 + -1x) (-8 + 2x) + 4 = 5(9 + -1x) Reorder the terms: -8 + 4 + 2x = 5(9 + -1x) Combine like terms: -8 + 4 = -4 -4 + 2x = 5(9 + -1x) -4 + 2x = (9 * 5 + -1x * 5) -4 + 2x = (45 + -5x) Solving -4 + 2x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + 2x + 5x = 45 + -5x + 5x Combine like terms: 2x + 5x = 7x -4 + 7x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 7x = 45 + 0 -4 + 7x = 45 Add '4' to each side of the equation. -4 + 4 + 7x = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 45 + 4 7x = 45 + 4 Combine like terms: 45 + 4 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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