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Simplifying 4(3 + x) + -4 = 7 + -2x (3 * 4 + x * 4) + -4 = 7 + -2x (12 + 4x) + -4 = 7 + -2x Reorder the terms: 12 + -4 + 4x = 7 + -2x Combine like terms: 12 + -4 = 8 8 + 4x = 7 + -2x Solving 8 + 4x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 4x + 2x = 7 + -2x + 2x Combine like terms: 4x + 2x = 6x 8 + 6x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 6x = 7 + 0 8 + 6x = 7 Add '-8' to each side of the equation. 8 + -8 + 6x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 7 + -8 6x = 7 + -8 Combine like terms: 7 + -8 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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