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Simplifying 4 + -2x = -7(-6 + -6x) + 6 4 + -2x = (-6 * -7 + -6x * -7) + 6 4 + -2x = (42 + 42x) + 6 Reorder the terms: 4 + -2x = 42 + 6 + 42x Combine like terms: 42 + 6 = 48 4 + -2x = 48 + 42x Solving 4 + -2x = 48 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 4 + -2x + -42x = 48 + 42x + -42x Combine like terms: -2x + -42x = -44x 4 + -44x = 48 + 42x + -42x Combine like terms: 42x + -42x = 0 4 + -44x = 48 + 0 4 + -44x = 48 Add '-4' to each side of the equation. 4 + -4 + -44x = 48 + -4 Combine like terms: 4 + -4 = 0 0 + -44x = 48 + -4 -44x = 48 + -4 Combine like terms: 48 + -4 = 44 -44x = 44 Divide each side by '-44'. x = -1 Simplifying x = -1
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