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Simplifying 5x + -2 + -6(x + 1) = 3x + -2 Reorder the terms: 5x + -2 + -6(1 + x) = 3x + -2 5x + -2 + (1 * -6 + x * -6) = 3x + -2 5x + -2 + (-6 + -6x) = 3x + -2 Reorder the terms: -2 + -6 + 5x + -6x = 3x + -2 Combine like terms: -2 + -6 = -8 -8 + 5x + -6x = 3x + -2 Combine like terms: 5x + -6x = -1x -8 + -1x = 3x + -2 Reorder the terms: -8 + -1x = -2 + 3x Solving -8 + -1x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -1x + -3x = -2 + 3x + -3x Combine like terms: -1x + -3x = -4x -8 + -4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -4x = -2 + 0 -8 + -4x = -2 Add '8' to each side of the equation. -8 + 8 + -4x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -2 + 8 -4x = -2 + 8 Combine like terms: -2 + 8 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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