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