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Simplifying 6x + -7 = 5 + 8(x + 1) Reorder the terms: -7 + 6x = 5 + 8(x + 1) Reorder the terms: -7 + 6x = 5 + 8(1 + x) -7 + 6x = 5 + (1 * 8 + x * 8) -7 + 6x = 5 + (8 + 8x) Combine like terms: 5 + 8 = 13 -7 + 6x = 13 + 8x Solving -7 + 6x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 6x + -8x = 13 + 8x + -8x Combine like terms: 6x + -8x = -2x -7 + -2x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -2x = 13 + 0 -7 + -2x = 13 Add '7' to each side of the equation. -7 + 7 + -2x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 13 + 7 -2x = 13 + 7 Combine like terms: 13 + 7 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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