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Simplifying 2(x + -4) + -4(x + -2) = x + 6 + -1(-10) Reorder the terms: 2(-4 + x) + -4(x + -2) = x + 6 + -1(-10) (-4 * 2 + x * 2) + -4(x + -2) = x + 6 + -1(-10) (-8 + 2x) + -4(x + -2) = x + 6 + -1(-10) Reorder the terms: -8 + 2x + -4(-2 + x) = x + 6 + -1(-10) -8 + 2x + (-2 * -4 + x * -4) = x + 6 + -1(-10) -8 + 2x + (8 + -4x) = x + 6 + -1(-10) Reorder the terms: -8 + 8 + 2x + -4x = x + 6 + -1(-10) Combine like terms: -8 + 8 = 0 0 + 2x + -4x = x + 6 + -1(-10) 2x + -4x = x + 6 + -1(-10) Combine like terms: 2x + -4x = -2x -2x = x + 6 + -1(-10) Multiply -1 * -10 -2x = x + 6 + 10 Reorder the terms: -2x = 6 + 10 + x Combine like terms: 6 + 10 = 16 -2x = 16 + x Solving -2x = 16 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2x + -1x = 16 + x + -1x Combine like terms: -2x + -1x = -3x -3x = 16 + x + -1x Combine like terms: x + -1x = 0 -3x = 16 + 0 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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