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Simplifying 1 + -4(x + 4) = 7x + -4 Reorder the terms: 1 + -4(4 + x) = 7x + -4 1 + (4 * -4 + x * -4) = 7x + -4 1 + (-16 + -4x) = 7x + -4 Combine like terms: 1 + -16 = -15 -15 + -4x = 7x + -4 Reorder the terms: -15 + -4x = -4 + 7x Solving -15 + -4x = -4 + 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. -15 + -4x + -7x = -4 + 7x + -7x Combine like terms: -4x + -7x = -11x -15 + -11x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -11x = -4 + 0 -15 + -11x = -4 Add '15' to each side of the equation. -15 + 15 + -11x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -11x = -4 + 15 -11x = -4 + 15 Combine like terms: -4 + 15 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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