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Simplifying 4x + 4(-2x + -2) = -5 + -7x Reorder the terms: 4x + 4(-2 + -2x) = -5 + -7x 4x + (-2 * 4 + -2x * 4) = -5 + -7x 4x + (-8 + -8x) = -5 + -7x Reorder the terms: -8 + 4x + -8x = -5 + -7x Combine like terms: 4x + -8x = -4x -8 + -4x = -5 + -7x Solving -8 + -4x = -5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + -4x + 7x = -5 + -7x + 7x Combine like terms: -4x + 7x = 3x -8 + 3x = -5 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 3x = -5 + 0 -8 + 3x = -5 Add '8' to each side of the equation. -8 + 8 + 3x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -5 + 8 3x = -5 + 8 Combine like terms: -5 + 8 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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