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Simplifying 4(x + 3) = -5(x + 4) + 8 Reorder the terms: 4(3 + x) = -5(x + 4) + 8 (3 * 4 + x * 4) = -5(x + 4) + 8 (12 + 4x) = -5(x + 4) + 8 Reorder the terms: 12 + 4x = -5(4 + x) + 8 12 + 4x = (4 * -5 + x * -5) + 8 12 + 4x = (-20 + -5x) + 8 Reorder the terms: 12 + 4x = -20 + 8 + -5x Combine like terms: -20 + 8 = -12 12 + 4x = -12 + -5x Solving 12 + 4x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 4x + 5x = -12 + -5x + 5x Combine like terms: 4x + 5x = 9x 12 + 9x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 9x = -12 + 0 12 + 9x = -12 Add '-12' to each side of the equation. 12 + -12 + 9x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -12 + -12 9x = -12 + -12 Combine like terms: -12 + -12 = -24 9x = -24 Divide each side by '9'. x = -2.666666667 Simplifying x = -2.666666667
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