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Simplifying 2 + -3(x + 7) = 6(x + 5) + 4 Reorder the terms: 2 + -3(7 + x) = 6(x + 5) + 4 2 + (7 * -3 + x * -3) = 6(x + 5) + 4 2 + (-21 + -3x) = 6(x + 5) + 4 Combine like terms: 2 + -21 = -19 -19 + -3x = 6(x + 5) + 4 Reorder the terms: -19 + -3x = 6(5 + x) + 4 -19 + -3x = (5 * 6 + x * 6) + 4 -19 + -3x = (30 + 6x) + 4 Reorder the terms: -19 + -3x = 30 + 4 + 6x Combine like terms: 30 + 4 = 34 -19 + -3x = 34 + 6x Solving -19 + -3x = 34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -19 + -3x + -6x = 34 + 6x + -6x Combine like terms: -3x + -6x = -9x -19 + -9x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + -9x = 34 + 0 -19 + -9x = 34 Add '19' to each side of the equation. -19 + 19 + -9x = 34 + 19 Combine like terms: -19 + 19 = 0 0 + -9x = 34 + 19 -9x = 34 + 19 Combine like terms: 34 + 19 = 53 -9x = 53 Divide each side by '-9'. x = -5.888888889 Simplifying x = -5.888888889
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