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Simplifying 7(x + -2) = 4(4x + 5) Reorder the terms: 7(-2 + x) = 4(4x + 5) (-2 * 7 + x * 7) = 4(4x + 5) (-14 + 7x) = 4(4x + 5) Reorder the terms: -14 + 7x = 4(5 + 4x) -14 + 7x = (5 * 4 + 4x * 4) -14 + 7x = (20 + 16x) Solving -14 + 7x = 20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -14 + 7x + -16x = 20 + 16x + -16x Combine like terms: 7x + -16x = -9x -14 + -9x = 20 + 16x + -16x Combine like terms: 16x + -16x = 0 -14 + -9x = 20 + 0 -14 + -9x = 20 Add '14' to each side of the equation. -14 + 14 + -9x = 20 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 20 + 14 -9x = 20 + 14 Combine like terms: 20 + 14 = 34 -9x = 34 Divide each side by '-9'. x = -3.777777778 Simplifying x = -3.777777778
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