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Simplifying 4(x + 3) = 7 + -4(2x + 5) Reorder the terms: 4(3 + x) = 7 + -4(2x + 5) (3 * 4 + x * 4) = 7 + -4(2x + 5) (12 + 4x) = 7 + -4(2x + 5) Reorder the terms: 12 + 4x = 7 + -4(5 + 2x) 12 + 4x = 7 + (5 * -4 + 2x * -4) 12 + 4x = 7 + (-20 + -8x) Combine like terms: 7 + -20 = -13 12 + 4x = -13 + -8x Solving 12 + 4x = -13 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 4x + 8x = -13 + -8x + 8x Combine like terms: 4x + 8x = 12x 12 + 12x = -13 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 12x = -13 + 0 12 + 12x = -13 Add '-12' to each side of the equation. 12 + -12 + 12x = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -13 + -12 12x = -13 + -12 Combine like terms: -13 + -12 = -25 12x = -25 Divide each side by '12'. x = -2.083333333 Simplifying x = -2.083333333
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