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Simplifying 8(x + 3) + 4(x + 3) = 6x + -6 Reorder the terms: 8(3 + x) + 4(x + 3) = 6x + -6 (3 * 8 + x * 8) + 4(x + 3) = 6x + -6 (24 + 8x) + 4(x + 3) = 6x + -6 Reorder the terms: 24 + 8x + 4(3 + x) = 6x + -6 24 + 8x + (3 * 4 + x * 4) = 6x + -6 24 + 8x + (12 + 4x) = 6x + -6 Reorder the terms: 24 + 12 + 8x + 4x = 6x + -6 Combine like terms: 24 + 12 = 36 36 + 8x + 4x = 6x + -6 Combine like terms: 8x + 4x = 12x 36 + 12x = 6x + -6 Reorder the terms: 36 + 12x = -6 + 6x Solving 36 + 12x = -6 + 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. 36 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 36 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 6x = -6 + 0 36 + 6x = -6 Add '-36' to each side of the equation. 36 + -36 + 6x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = -6 + -36 6x = -6 + -36 Combine like terms: -6 + -36 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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