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Simplifying 4(x + 8) + 2 = -3(x + 3) Reorder the terms: 4(8 + x) + 2 = -3(x + 3) (8 * 4 + x * 4) + 2 = -3(x + 3) (32 + 4x) + 2 = -3(x + 3) Reorder the terms: 32 + 2 + 4x = -3(x + 3) Combine like terms: 32 + 2 = 34 34 + 4x = -3(x + 3) Reorder the terms: 34 + 4x = -3(3 + x) 34 + 4x = (3 * -3 + x * -3) 34 + 4x = (-9 + -3x) Solving 34 + 4x = -9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 34 + 4x + 3x = -9 + -3x + 3x Combine like terms: 4x + 3x = 7x 34 + 7x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 34 + 7x = -9 + 0 34 + 7x = -9 Add '-34' to each side of the equation. 34 + -34 + 7x = -9 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = -9 + -34 7x = -9 + -34 Combine like terms: -9 + -34 = -43 7x = -43 Divide each side by '7'. x = -6.142857143 Simplifying x = -6.142857143
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