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Simplifying 7 + -4(x + 4) = x + 1 Reorder the terms: 7 + -4(4 + x) = x + 1 7 + (4 * -4 + x * -4) = x + 1 7 + (-16 + -4x) = x + 1 Combine like terms: 7 + -16 = -9 -9 + -4x = x + 1 Reorder the terms: -9 + -4x = 1 + x Solving -9 + -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. -9 + -4x + -1x = 1 + x + -1x Combine like terms: -4x + -1x = -5x -9 + -5x = 1 + x + -1x Combine like terms: x + -1x = 0 -9 + -5x = 1 + 0 -9 + -5x = 1 Add '9' to each side of the equation. -9 + 9 + -5x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 1 + 9 -5x = 1 + 9 Combine like terms: 1 + 9 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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