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Simplifying 6(x + -5) = 4(x + 4) + -6 Reorder the terms: 6(-5 + x) = 4(x + 4) + -6 (-5 * 6 + x * 6) = 4(x + 4) + -6 (-30 + 6x) = 4(x + 4) + -6 Reorder the terms: -30 + 6x = 4(4 + x) + -6 -30 + 6x = (4 * 4 + x * 4) + -6 -30 + 6x = (16 + 4x) + -6 Reorder the terms: -30 + 6x = 16 + -6 + 4x Combine like terms: 16 + -6 = 10 -30 + 6x = 10 + 4x Solving -30 + 6x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x -30 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 2x = 10 + 0 -30 + 2x = 10 Add '30' to each side of the equation. -30 + 30 + 2x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 10 + 30 2x = 10 + 30 Combine like terms: 10 + 30 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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