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Simplifying 8(x + 6) + 3 = -8(x + -2) + -7 Reorder the terms: 8(6 + x) + 3 = -8(x + -2) + -7 (6 * 8 + x * 8) + 3 = -8(x + -2) + -7 (48 + 8x) + 3 = -8(x + -2) + -7 Reorder the terms: 48 + 3 + 8x = -8(x + -2) + -7 Combine like terms: 48 + 3 = 51 51 + 8x = -8(x + -2) + -7 Reorder the terms: 51 + 8x = -8(-2 + x) + -7 51 + 8x = (-2 * -8 + x * -8) + -7 51 + 8x = (16 + -8x) + -7 Reorder the terms: 51 + 8x = 16 + -7 + -8x Combine like terms: 16 + -7 = 9 51 + 8x = 9 + -8x Solving 51 + 8x = 9 + -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. 51 + 8x + 8x = 9 + -8x + 8x Combine like terms: 8x + 8x = 16x 51 + 16x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 51 + 16x = 9 + 0 51 + 16x = 9 Add '-51' to each side of the equation. 51 + -51 + 16x = 9 + -51 Combine like terms: 51 + -51 = 0 0 + 16x = 9 + -51 16x = 9 + -51 Combine like terms: 9 + -51 = -42 16x = -42 Divide each side by '16'. x = -2.625 Simplifying x = -2.625
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