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Simplifying 8x + 6 = 7(x + -2) + -1 Reorder the terms: 6 + 8x = 7(x + -2) + -1 Reorder the terms: 6 + 8x = 7(-2 + x) + -1 6 + 8x = (-2 * 7 + x * 7) + -1 6 + 8x = (-14 + 7x) + -1 Reorder the terms: 6 + 8x = -14 + -1 + 7x Combine like terms: -14 + -1 = -15 6 + 8x = -15 + 7x Solving 6 + 8x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 8x + -7x = -15 + 7x + -7x Combine like terms: 8x + -7x = 1x 6 + 1x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 1x = -15 + 0 6 + 1x = -15 Add '-6' to each side of the equation. 6 + -6 + 1x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -15 + -6 1x = -15 + -6 Combine like terms: -15 + -6 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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