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Simplifying 7x + 2 = 6(x + -4) + 7 Reorder the terms: 2 + 7x = 6(x + -4) + 7 Reorder the terms: 2 + 7x = 6(-4 + x) + 7 2 + 7x = (-4 * 6 + x * 6) + 7 2 + 7x = (-24 + 6x) + 7 Reorder the terms: 2 + 7x = -24 + 7 + 6x Combine like terms: -24 + 7 = -17 2 + 7x = -17 + 6x Solving 2 + 7x = -17 + 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. 2 + 7x + -6x = -17 + 6x + -6x Combine like terms: 7x + -6x = 1x 2 + 1x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 1x = -17 + 0 2 + 1x = -17 Add '-2' to each side of the equation. 2 + -2 + 1x = -17 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -17 + -2 1x = -17 + -2 Combine like terms: -17 + -2 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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