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Simplifying -4x + -3 + -7(x + 1) = -6x + 2 Reorder the terms: -4x + -3 + -7(1 + x) = -6x + 2 -4x + -3 + (1 * -7 + x * -7) = -6x + 2 -4x + -3 + (-7 + -7x) = -6x + 2 Reorder the terms: -3 + -7 + -4x + -7x = -6x + 2 Combine like terms: -3 + -7 = -10 -10 + -4x + -7x = -6x + 2 Combine like terms: -4x + -7x = -11x -10 + -11x = -6x + 2 Reorder the terms: -10 + -11x = 2 + -6x Solving -10 + -11x = 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. -10 + -11x + 6x = 2 + -6x + 6x Combine like terms: -11x + 6x = -5x -10 + -5x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + -5x = 2 + 0 -10 + -5x = 2 Add '10' to each side of the equation. -10 + 10 + -5x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 2 + 10 -5x = 2 + 10 Combine like terms: 2 + 10 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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