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Simplifying 3x + 5 + 7(x + 1) = -4x + -6 Reorder the terms: 3x + 5 + 7(1 + x) = -4x + -6 3x + 5 + (1 * 7 + x * 7) = -4x + -6 3x + 5 + (7 + 7x) = -4x + -6 Reorder the terms: 5 + 7 + 3x + 7x = -4x + -6 Combine like terms: 5 + 7 = 12 12 + 3x + 7x = -4x + -6 Combine like terms: 3x + 7x = 10x 12 + 10x = -4x + -6 Reorder the terms: 12 + 10x = -6 + -4x Solving 12 + 10x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 10x + 4x = -6 + -4x + 4x Combine like terms: 10x + 4x = 14x 12 + 14x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 14x = -6 + 0 12 + 14x = -6 Add '-12' to each side of the equation. 12 + -12 + 14x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = -6 + -12 14x = -6 + -12 Combine like terms: -6 + -12 = -18 14x = -18 Divide each side by '14'. x = -1.285714286 Simplifying x = -1.285714286
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