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Simplifying -3(x + -2) + -4(x + -4) = 6 Reorder the terms: -3(-2 + x) + -4(x + -4) = 6 (-2 * -3 + x * -3) + -4(x + -4) = 6 (6 + -3x) + -4(x + -4) = 6 Reorder the terms: 6 + -3x + -4(-4 + x) = 6 6 + -3x + (-4 * -4 + x * -4) = 6 6 + -3x + (16 + -4x) = 6 Reorder the terms: 6 + 16 + -3x + -4x = 6 Combine like terms: 6 + 16 = 22 22 + -3x + -4x = 6 Combine like terms: -3x + -4x = -7x 22 + -7x = 6 Solving 22 + -7x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -7x = 6 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = 6 + -22 -7x = 6 + -22 Combine like terms: 6 + -22 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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