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Simplifying 4x + -2(x + -4) = -9 + 4x + 1 Reorder the terms: 4x + -2(-4 + x) = -9 + 4x + 1 4x + (-4 * -2 + x * -2) = -9 + 4x + 1 4x + (8 + -2x) = -9 + 4x + 1 Reorder the terms: 8 + 4x + -2x = -9 + 4x + 1 Combine like terms: 4x + -2x = 2x 8 + 2x = -9 + 4x + 1 Reorder the terms: 8 + 2x = -9 + 1 + 4x Combine like terms: -9 + 1 = -8 8 + 2x = -8 + 4x Solving 8 + 2x = -8 + 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. 8 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = -8 + 0 8 + -2x = -8 Add '-8' to each side of the equation. 8 + -8 + -2x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -8 + -8 -2x = -8 + -8 Combine like terms: -8 + -8 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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