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Simplifying 7(x + -2) = -5(1 + -2x) + 4x Reorder the terms: 7(-2 + x) = -5(1 + -2x) + 4x (-2 * 7 + x * 7) = -5(1 + -2x) + 4x (-14 + 7x) = -5(1 + -2x) + 4x -14 + 7x = (1 * -5 + -2x * -5) + 4x -14 + 7x = (-5 + 10x) + 4x Combine like terms: 10x + 4x = 14x -14 + 7x = -5 + 14x Solving -14 + 7x = -5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -14 + 7x + -14x = -5 + 14x + -14x Combine like terms: 7x + -14x = -7x -14 + -7x = -5 + 14x + -14x Combine like terms: 14x + -14x = 0 -14 + -7x = -5 + 0 -14 + -7x = -5 Add '14' to each side of the equation. -14 + 14 + -7x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = -5 + 14 -7x = -5 + 14 Combine like terms: -5 + 14 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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