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Simplifying 7x + 2 = 6(x + -2) + 5 Reorder the terms: 2 + 7x = 6(x + -2) + 5 Reorder the terms: 2 + 7x = 6(-2 + x) + 5 2 + 7x = (-2 * 6 + x * 6) + 5 2 + 7x = (-12 + 6x) + 5 Reorder the terms: 2 + 7x = -12 + 5 + 6x Combine like terms: -12 + 5 = -7 2 + 7x = -7 + 6x Solving 2 + 7x = -7 + 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 = -7 + 6x + -6x Combine like terms: 7x + -6x = 1x 2 + 1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 1x = -7 + 0 2 + 1x = -7 Add '-2' to each side of the equation. 2 + -2 + 1x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -7 + -2 1x = -7 + -2 Combine like terms: -7 + -2 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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