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Simplifying -3x + -2 + 6(x + 1) = -5x + -3 Reorder the terms: -3x + -2 + 6(1 + x) = -5x + -3 -3x + -2 + (1 * 6 + x * 6) = -5x + -3 -3x + -2 + (6 + 6x) = -5x + -3 Reorder the terms: -2 + 6 + -3x + 6x = -5x + -3 Combine like terms: -2 + 6 = 4 4 + -3x + 6x = -5x + -3 Combine like terms: -3x + 6x = 3x 4 + 3x = -5x + -3 Reorder the terms: 4 + 3x = -3 + -5x Solving 4 + 3x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 3x + 5x = -3 + -5x + 5x Combine like terms: 3x + 5x = 8x 4 + 8x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 8x = -3 + 0 4 + 8x = -3 Add '-4' to each side of the equation. 4 + -4 + 8x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -3 + -4 8x = -3 + -4 Combine like terms: -3 + -4 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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