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Simplifying 6 + -4(x + 4) = 8 + -6(x + 2) Reorder the terms: 6 + -4(4 + x) = 8 + -6(x + 2) 6 + (4 * -4 + x * -4) = 8 + -6(x + 2) 6 + (-16 + -4x) = 8 + -6(x + 2) Combine like terms: 6 + -16 = -10 -10 + -4x = 8 + -6(x + 2) Reorder the terms: -10 + -4x = 8 + -6(2 + x) -10 + -4x = 8 + (2 * -6 + x * -6) -10 + -4x = 8 + (-12 + -6x) Combine like terms: 8 + -12 = -4 -10 + -4x = -4 + -6x Solving -10 + -4x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -4x + 6x = -4 + -6x + 6x Combine like terms: -4x + 6x = 2x -10 + 2x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 2x = -4 + 0 -10 + 2x = -4 Add '10' to each side of the equation. -10 + 10 + 2x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -4 + 10 2x = -4 + 10 Combine like terms: -4 + 10 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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