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Simplifying 8(x + 5) + -27 = 6x + 7 Reorder the terms: 8(5 + x) + -27 = 6x + 7 (5 * 8 + x * 8) + -27 = 6x + 7 (40 + 8x) + -27 = 6x + 7 Reorder the terms: 40 + -27 + 8x = 6x + 7 Combine like terms: 40 + -27 = 13 13 + 8x = 6x + 7 Reorder the terms: 13 + 8x = 7 + 6x Solving 13 + 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. 13 + 8x + -6x = 7 + 6x + -6x Combine like terms: 8x + -6x = 2x 13 + 2x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 2x = 7 + 0 13 + 2x = 7 Add '-13' to each side of the equation. 13 + -13 + 2x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 7 + -13 2x = 7 + -13 Combine like terms: 7 + -13 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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