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Simplifying 4x + -2(x + -4) = -5 + 4x + 7 Reorder the terms: 4x + -2(-4 + x) = -5 + 4x + 7 4x + (-4 * -2 + x * -2) = -5 + 4x + 7 4x + (8 + -2x) = -5 + 4x + 7 Reorder the terms: 8 + 4x + -2x = -5 + 4x + 7 Combine like terms: 4x + -2x = 2x 8 + 2x = -5 + 4x + 7 Reorder the terms: 8 + 2x = -5 + 7 + 4x Combine like terms: -5 + 7 = 2 8 + 2x = 2 + 4x Solving 8 + 2x = 2 + 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 = 2 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 2 + 0 8 + -2x = 2 Add '-8' to each side of the equation. 8 + -8 + -2x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 2 + -8 -2x = 2 + -8 Combine like terms: 2 + -8 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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