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