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Simplifying 7 + 4(2x + -2) = 4x + -5 Reorder the terms: 7 + 4(-2 + 2x) = 4x + -5 7 + (-2 * 4 + 2x * 4) = 4x + -5 7 + (-8 + 8x) = 4x + -5 Combine like terms: 7 + -8 = -1 -1 + 8x = 4x + -5 Reorder the terms: -1 + 8x = -5 + 4x Solving -1 + 8x = -5 + 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. -1 + 8x + -4x = -5 + 4x + -4x Combine like terms: 8x + -4x = 4x -1 + 4x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 4x = -5 + 0 -1 + 4x = -5 Add '1' to each side of the equation. -1 + 1 + 4x = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -5 + 1 4x = -5 + 1 Combine like terms: -5 + 1 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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