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Simplifying 3(x + 4) = -2(5x + -8) + 7x Reorder the terms: 3(4 + x) = -2(5x + -8) + 7x (4 * 3 + x * 3) = -2(5x + -8) + 7x (12 + 3x) = -2(5x + -8) + 7x Reorder the terms: 12 + 3x = -2(-8 + 5x) + 7x 12 + 3x = (-8 * -2 + 5x * -2) + 7x 12 + 3x = (16 + -10x) + 7x Combine like terms: -10x + 7x = -3x 12 + 3x = 16 + -3x Solving 12 + 3x = 16 + -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. 12 + 3x + 3x = 16 + -3x + 3x Combine like terms: 3x + 3x = 6x 12 + 6x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 6x = 16 + 0 12 + 6x = 16 Add '-12' to each side of the equation. 12 + -12 + 6x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 16 + -12 6x = 16 + -12 Combine like terms: 16 + -12 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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