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Simplifying 2 + -3(x + 7) = 5x + 6 Reorder the terms: 2 + -3(7 + x) = 5x + 6 2 + (7 * -3 + x * -3) = 5x + 6 2 + (-21 + -3x) = 5x + 6 Combine like terms: 2 + -21 = -19 -19 + -3x = 5x + 6 Reorder the terms: -19 + -3x = 6 + 5x Solving -19 + -3x = 6 + 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. -19 + -3x + -5x = 6 + 5x + -5x Combine like terms: -3x + -5x = -8x -19 + -8x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -19 + -8x = 6 + 0 -19 + -8x = 6 Add '19' to each side of the equation. -19 + 19 + -8x = 6 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = 6 + 19 -8x = 6 + 19 Combine like terms: 6 + 19 = 25 -8x = 25 Divide each side by '-8'. x = -3.125 Simplifying x = -3.125
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