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Simplifying 8(x + -2) + -7 = 6x + 7 Reorder the terms: 8(-2 + x) + -7 = 6x + 7 (-2 * 8 + x * 8) + -7 = 6x + 7 (-16 + 8x) + -7 = 6x + 7 Reorder the terms: -16 + -7 + 8x = 6x + 7 Combine like terms: -16 + -7 = -23 -23 + 8x = 6x + 7 Reorder the terms: -23 + 8x = 7 + 6x Solving -23 + 8x = 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. -23 + 8x + -6x = 7 + 6x + -6x Combine like terms: 8x + -6x = 2x -23 + 2x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -23 + 2x = 7 + 0 -23 + 2x = 7 Add '23' to each side of the equation. -23 + 23 + 2x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 7 + 23 2x = 7 + 23 Combine like terms: 7 + 23 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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