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Simplifying 8(x + 8) + 2 = -7(x + -5) + -3 Reorder the terms: 8(8 + x) + 2 = -7(x + -5) + -3 (8 * 8 + x * 8) + 2 = -7(x + -5) + -3 (64 + 8x) + 2 = -7(x + -5) + -3 Reorder the terms: 64 + 2 + 8x = -7(x + -5) + -3 Combine like terms: 64 + 2 = 66 66 + 8x = -7(x + -5) + -3 Reorder the terms: 66 + 8x = -7(-5 + x) + -3 66 + 8x = (-5 * -7 + x * -7) + -3 66 + 8x = (35 + -7x) + -3 Reorder the terms: 66 + 8x = 35 + -3 + -7x Combine like terms: 35 + -3 = 32 66 + 8x = 32 + -7x Solving 66 + 8x = 32 + -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. 66 + 8x + 7x = 32 + -7x + 7x Combine like terms: 8x + 7x = 15x 66 + 15x = 32 + -7x + 7x Combine like terms: -7x + 7x = 0 66 + 15x = 32 + 0 66 + 15x = 32 Add '-66' to each side of the equation. 66 + -66 + 15x = 32 + -66 Combine like terms: 66 + -66 = 0 0 + 15x = 32 + -66 15x = 32 + -66 Combine like terms: 32 + -66 = -34 15x = -34 Divide each side by '15'. x = -2.266666667 Simplifying x = -2.266666667
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