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Simplifying -3x + -6 + -5(x + 1) = 7x + -2 Reorder the terms: -3x + -6 + -5(1 + x) = 7x + -2 -3x + -6 + (1 * -5 + x * -5) = 7x + -2 -3x + -6 + (-5 + -5x) = 7x + -2 Reorder the terms: -6 + -5 + -3x + -5x = 7x + -2 Combine like terms: -6 + -5 = -11 -11 + -3x + -5x = 7x + -2 Combine like terms: -3x + -5x = -8x -11 + -8x = 7x + -2 Reorder the terms: -11 + -8x = -2 + 7x Solving -11 + -8x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11 + -8x + -7x = -2 + 7x + -7x Combine like terms: -8x + -7x = -15x -11 + -15x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -15x = -2 + 0 -11 + -15x = -2 Add '11' to each side of the equation. -11 + 11 + -15x = -2 + 11 Combine like terms: -11 + 11 = 0 0 + -15x = -2 + 11 -15x = -2 + 11 Combine like terms: -2 + 11 = 9 -15x = 9 Divide each side by '-15'. x = -0.6 Simplifying x = -0.6
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