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Simplifying 6 + -4(x + 4) = 4 + -2(x + 6) Reorder the terms: 6 + -4(4 + x) = 4 + -2(x + 6) 6 + (4 * -4 + x * -4) = 4 + -2(x + 6) 6 + (-16 + -4x) = 4 + -2(x + 6) Combine like terms: 6 + -16 = -10 -10 + -4x = 4 + -2(x + 6) Reorder the terms: -10 + -4x = 4 + -2(6 + x) -10 + -4x = 4 + (6 * -2 + x * -2) -10 + -4x = 4 + (-12 + -2x) Combine like terms: 4 + -12 = -8 -10 + -4x = -8 + -2x Solving -10 + -4x = -8 + -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. -10 + -4x + 2x = -8 + -2x + 2x Combine like terms: -4x + 2x = -2x -10 + -2x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -2x = -8 + 0 -10 + -2x = -8 Add '10' to each side of the equation. -10 + 10 + -2x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -8 + 10 -2x = -8 + 10 Combine like terms: -8 + 10 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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