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Simplifying 7 + -1(x + 13) = 4(x + 1) Reorder the terms: 7 + -1(13 + x) = 4(x + 1) 7 + (13 * -1 + x * -1) = 4(x + 1) 7 + (-13 + -1x) = 4(x + 1) Combine like terms: 7 + -13 = -6 -6 + -1x = 4(x + 1) Reorder the terms: -6 + -1x = 4(1 + x) -6 + -1x = (1 * 4 + x * 4) -6 + -1x = (4 + 4x) Solving -6 + -1x = 4 + 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. -6 + -1x + -4x = 4 + 4x + -4x Combine like terms: -1x + -4x = -5x -6 + -5x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -5x = 4 + 0 -6 + -5x = 4 Add '6' to each side of the equation. -6 + 6 + -5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 4 + 6 -5x = 4 + 6 Combine like terms: 4 + 6 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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