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Simplifying 7x + -4 = 2(4x + 5) Reorder the terms: -4 + 7x = 2(4x + 5) Reorder the terms: -4 + 7x = 2(5 + 4x) -4 + 7x = (5 * 2 + 4x * 2) -4 + 7x = (10 + 8x) Solving -4 + 7x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 7x + -8x = 10 + 8x + -8x Combine like terms: 7x + -8x = -1x -4 + -1x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -1x = 10 + 0 -4 + -1x = 10 Add '4' to each side of the equation. -4 + 4 + -1x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 10 + 4 -1x = 10 + 4 Combine like terms: 10 + 4 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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