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Simplifying 7(x + -2) = 5x + -3(x + 2) Reorder the terms: 7(-2 + x) = 5x + -3(x + 2) (-2 * 7 + x * 7) = 5x + -3(x + 2) (-14 + 7x) = 5x + -3(x + 2) Reorder the terms: -14 + 7x = 5x + -3(2 + x) -14 + 7x = 5x + (2 * -3 + x * -3) -14 + 7x = 5x + (-6 + -3x) Reorder the terms: -14 + 7x = -6 + 5x + -3x Combine like terms: 5x + -3x = 2x -14 + 7x = -6 + 2x Solving -14 + 7x = -6 + 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. -14 + 7x + -2x = -6 + 2x + -2x Combine like terms: 7x + -2x = 5x -14 + 5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 5x = -6 + 0 -14 + 5x = -6 Add '14' to each side of the equation. -14 + 14 + 5x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -6 + 14 5x = -6 + 14 Combine like terms: -6 + 14 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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