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Simplifying 1(x + 4) + -1 = -4(x + -7) Reorder the terms: 1(4 + x) + -1 = -4(x + -7) (4 * 1 + x * 1) + -1 = -4(x + -7) (4 + 1x) + -1 = -4(x + -7) Reorder the terms: 4 + -1 + 1x = -4(x + -7) Combine like terms: 4 + -1 = 3 3 + 1x = -4(x + -7) Reorder the terms: 3 + 1x = -4(-7 + x) 3 + 1x = (-7 * -4 + x * -4) 3 + 1x = (28 + -4x) Solving 3 + 1x = 28 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 1x + 4x = 28 + -4x + 4x Combine like terms: 1x + 4x = 5x 3 + 5x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 5x = 28 + 0 3 + 5x = 28 Add '-3' to each side of the equation. 3 + -3 + 5x = 28 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 28 + -3 5x = 28 + -3 Combine like terms: 28 + -3 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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