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Simplifying 4x + 5 + -7(x + 1) = 6x + 2 Reorder the terms: 4x + 5 + -7(1 + x) = 6x + 2 4x + 5 + (1 * -7 + x * -7) = 6x + 2 4x + 5 + (-7 + -7x) = 6x + 2 Reorder the terms: 5 + -7 + 4x + -7x = 6x + 2 Combine like terms: 5 + -7 = -2 -2 + 4x + -7x = 6x + 2 Combine like terms: 4x + -7x = -3x -2 + -3x = 6x + 2 Reorder the terms: -2 + -3x = 2 + 6x Solving -2 + -3x = 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. -2 + -3x + -6x = 2 + 6x + -6x Combine like terms: -3x + -6x = -9x -2 + -9x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -9x = 2 + 0 -2 + -9x = 2 Add '2' to each side of the equation. -2 + 2 + -9x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 2 + 2 -9x = 2 + 2 Combine like terms: 2 + 2 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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