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Simplifying 5x + 3(x + 4) = -12 + 6x Reorder the terms: 5x + 3(4 + x) = -12 + 6x 5x + (4 * 3 + x * 3) = -12 + 6x 5x + (12 + 3x) = -12 + 6x Reorder the terms: 12 + 5x + 3x = -12 + 6x Combine like terms: 5x + 3x = 8x 12 + 8x = -12 + 6x Solving 12 + 8x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 8x + -6x = -12 + 6x + -6x Combine like terms: 8x + -6x = 2x 12 + 2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 2x = -12 + 0 12 + 2x = -12 Add '-12' to each side of the equation. 12 + -12 + 2x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -12 + -12 2x = -12 + -12 Combine like terms: -12 + -12 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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