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Simplifying 6(x + -1) = 4(x + 2) + 10 Reorder the terms: 6(-1 + x) = 4(x + 2) + 10 (-1 * 6 + x * 6) = 4(x + 2) + 10 (-6 + 6x) = 4(x + 2) + 10 Reorder the terms: -6 + 6x = 4(2 + x) + 10 -6 + 6x = (2 * 4 + x * 4) + 10 -6 + 6x = (8 + 4x) + 10 Reorder the terms: -6 + 6x = 8 + 10 + 4x Combine like terms: 8 + 10 = 18 -6 + 6x = 18 + 4x Solving -6 + 6x = 18 + 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. -6 + 6x + -4x = 18 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 18 + 0 -6 + 2x = 18 Add '6' to each side of the equation. -6 + 6 + 2x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 18 + 6 2x = 18 + 6 Combine like terms: 18 + 6 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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