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Simplifying 4 + -7x = 3 + -1(x + 5) Reorder the terms: 4 + -7x = 3 + -1(5 + x) 4 + -7x = 3 + (5 * -1 + x * -1) 4 + -7x = 3 + (-5 + -1x) Combine like terms: 3 + -5 = -2 4 + -7x = -2 + -1x Solving 4 + -7x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + -7x + x = -2 + -1x + x Combine like terms: -7x + x = -6x 4 + -6x = -2 + -1x + x Combine like terms: -1x + x = 0 4 + -6x = -2 + 0 4 + -6x = -2 Add '-4' to each side of the equation. 4 + -4 + -6x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -2 + -4 -6x = -2 + -4 Combine like terms: -2 + -4 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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