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Simplifying 6 + (5x + -7) + -2(3x + 4) = 7(x + 1) Reorder the terms: 6 + (-7 + 5x) + -2(3x + 4) = 7(x + 1) Remove parenthesis around (-7 + 5x) 6 + -7 + 5x + -2(3x + 4) = 7(x + 1) Reorder the terms: 6 + -7 + 5x + -2(4 + 3x) = 7(x + 1) 6 + -7 + 5x + (4 * -2 + 3x * -2) = 7(x + 1) 6 + -7 + 5x + (-8 + -6x) = 7(x + 1) Reorder the terms: 6 + -7 + -8 + 5x + -6x = 7(x + 1) Combine like terms: 6 + -7 = -1 -1 + -8 + 5x + -6x = 7(x + 1) Combine like terms: -1 + -8 = -9 -9 + 5x + -6x = 7(x + 1) Combine like terms: 5x + -6x = -1x -9 + -1x = 7(x + 1) Reorder the terms: -9 + -1x = 7(1 + x) -9 + -1x = (1 * 7 + x * 7) -9 + -1x = (7 + 7x) Solving -9 + -1x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + -1x + -7x = 7 + 7x + -7x Combine like terms: -1x + -7x = -8x -9 + -8x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -8x = 7 + 0 -9 + -8x = 7 Add '9' to each side of the equation. -9 + 9 + -8x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 7 + 9 -8x = 7 + 9 Combine like terms: 7 + 9 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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