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Simplifying 4(x + -4) + 5 = x + 1 Reorder the terms: 4(-4 + x) + 5 = x + 1 (-4 * 4 + x * 4) + 5 = x + 1 (-16 + 4x) + 5 = x + 1 Reorder the terms: -16 + 5 + 4x = x + 1 Combine like terms: -16 + 5 = -11 -11 + 4x = x + 1 Reorder the terms: -11 + 4x = 1 + x Solving -11 + 4x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 4x + -1x = 1 + x + -1x Combine like terms: 4x + -1x = 3x -11 + 3x = 1 + x + -1x Combine like terms: x + -1x = 0 -11 + 3x = 1 + 0 -11 + 3x = 1 Add '11' to each side of the equation. -11 + 11 + 3x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 1 + 11 3x = 1 + 11 Combine like terms: 1 + 11 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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