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Simplifying 5(x + 6) = 8 + -4(2x + 4) Reorder the terms: 5(6 + x) = 8 + -4(2x + 4) (6 * 5 + x * 5) = 8 + -4(2x + 4) (30 + 5x) = 8 + -4(2x + 4) Reorder the terms: 30 + 5x = 8 + -4(4 + 2x) 30 + 5x = 8 + (4 * -4 + 2x * -4) 30 + 5x = 8 + (-16 + -8x) Combine like terms: 8 + -16 = -8 30 + 5x = -8 + -8x Solving 30 + 5x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 30 + 5x + 8x = -8 + -8x + 8x Combine like terms: 5x + 8x = 13x 30 + 13x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 30 + 13x = -8 + 0 30 + 13x = -8 Add '-30' to each side of the equation. 30 + -30 + 13x = -8 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = -8 + -30 13x = -8 + -30 Combine like terms: -8 + -30 = -38 13x = -38 Divide each side by '13'. x = -2.923076923 Simplifying x = -2.923076923
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