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