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Simplifying 4(3 + -2x) + 2(x + 1) = -7 (3 * 4 + -2x * 4) + 2(x + 1) = -7 (12 + -8x) + 2(x + 1) = -7 Reorder the terms: 12 + -8x + 2(1 + x) = -7 12 + -8x + (1 * 2 + x * 2) = -7 12 + -8x + (2 + 2x) = -7 Reorder the terms: 12 + 2 + -8x + 2x = -7 Combine like terms: 12 + 2 = 14 14 + -8x + 2x = -7 Combine like terms: -8x + 2x = -6x 14 + -6x = -7 Solving 14 + -6x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -6x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -7 + -14 -6x = -7 + -14 Combine like terms: -7 + -14 = -21 -6x = -21 Divide each side by '-6'. x = 3.5 Simplifying x = 3.5
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