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Simplifying 5x + 2 + -7(x + 1) = -6x + 2 Reorder the terms: 5x + 2 + -7(1 + x) = -6x + 2 5x + 2 + (1 * -7 + x * -7) = -6x + 2 5x + 2 + (-7 + -7x) = -6x + 2 Reorder the terms: 2 + -7 + 5x + -7x = -6x + 2 Combine like terms: 2 + -7 = -5 -5 + 5x + -7x = -6x + 2 Combine like terms: 5x + -7x = -2x -5 + -2x = -6x + 2 Reorder the terms: -5 + -2x = 2 + -6x Solving -5 + -2x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + -2x + 6x = 2 + -6x + 6x Combine like terms: -2x + 6x = 4x -5 + 4x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 4x = 2 + 0 -5 + 4x = 2 Add '5' to each side of the equation. -5 + 5 + 4x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 2 + 5 4x = 2 + 5 Combine like terms: 2 + 5 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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