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Simplifying 7x + 6 = 6(x + -5) + -6 Reorder the terms: 6 + 7x = 6(x + -5) + -6 Reorder the terms: 6 + 7x = 6(-5 + x) + -6 6 + 7x = (-5 * 6 + x * 6) + -6 6 + 7x = (-30 + 6x) + -6 Reorder the terms: 6 + 7x = -30 + -6 + 6x Combine like terms: -30 + -6 = -36 6 + 7x = -36 + 6x Solving 6 + 7x = -36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 7x + -6x = -36 + 6x + -6x Combine like terms: 7x + -6x = 1x 6 + 1x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 1x = -36 + 0 6 + 1x = -36 Add '-6' to each side of the equation. 6 + -6 + 1x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -36 + -6 1x = -36 + -6 Combine like terms: -36 + -6 = -42 1x = -42 Divide each side by '1'. x = -42 Simplifying x = -42
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