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Simplifying 2x + -6 + -7(x + 1) = 3x + -3 Reorder the terms: 2x + -6 + -7(1 + x) = 3x + -3 2x + -6 + (1 * -7 + x * -7) = 3x + -3 2x + -6 + (-7 + -7x) = 3x + -3 Reorder the terms: -6 + -7 + 2x + -7x = 3x + -3 Combine like terms: -6 + -7 = -13 -13 + 2x + -7x = 3x + -3 Combine like terms: 2x + -7x = -5x -13 + -5x = 3x + -3 Reorder the terms: -13 + -5x = -3 + 3x Solving -13 + -5x = -3 + 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. -13 + -5x + -3x = -3 + 3x + -3x Combine like terms: -5x + -3x = -8x -13 + -8x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + -8x = -3 + 0 -13 + -8x = -3 Add '13' to each side of the equation. -13 + 13 + -8x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = -3 + 13 -8x = -3 + 13 Combine like terms: -3 + 13 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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