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Simplifying 4(x + 2) = -6(x + -5) + 8x Reorder the terms: 4(2 + x) = -6(x + -5) + 8x (2 * 4 + x * 4) = -6(x + -5) + 8x (8 + 4x) = -6(x + -5) + 8x Reorder the terms: 8 + 4x = -6(-5 + x) + 8x 8 + 4x = (-5 * -6 + x * -6) + 8x 8 + 4x = (30 + -6x) + 8x Combine like terms: -6x + 8x = 2x 8 + 4x = 30 + 2x Solving 8 + 4x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 4x + -2x = 30 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 30 + 0 8 + 2x = 30 Add '-8' to each side of the equation. 8 + -8 + 2x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 30 + -8 2x = 30 + -8 Combine like terms: 30 + -8 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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