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Simplifying 4(3 + 3x) + 6(x + 4) = 8x + 7x (3 * 4 + 3x * 4) + 6(x + 4) = 8x + 7x (12 + 12x) + 6(x + 4) = 8x + 7x Reorder the terms: 12 + 12x + 6(4 + x) = 8x + 7x 12 + 12x + (4 * 6 + x * 6) = 8x + 7x 12 + 12x + (24 + 6x) = 8x + 7x Reorder the terms: 12 + 24 + 12x + 6x = 8x + 7x Combine like terms: 12 + 24 = 36 36 + 12x + 6x = 8x + 7x Combine like terms: 12x + 6x = 18x 36 + 18x = 8x + 7x Combine like terms: 8x + 7x = 15x 36 + 18x = 15x Solving 36 + 18x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 36 + 18x + -15x = 15x + -15x Combine like terms: 18x + -15x = 3x 36 + 3x = 15x + -15x Combine like terms: 15x + -15x = 0 36 + 3x = 0 Add '-36' to each side of the equation. 36 + -36 + 3x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 0 + -36 3x = 0 + -36 Combine like terms: 0 + -36 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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