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Simplifying 8(x + 5) + 2 = -7(x + -3) + -2 Reorder the terms: 8(5 + x) + 2 = -7(x + -3) + -2 (5 * 8 + x * 8) + 2 = -7(x + -3) + -2 (40 + 8x) + 2 = -7(x + -3) + -2 Reorder the terms: 40 + 2 + 8x = -7(x + -3) + -2 Combine like terms: 40 + 2 = 42 42 + 8x = -7(x + -3) + -2 Reorder the terms: 42 + 8x = -7(-3 + x) + -2 42 + 8x = (-3 * -7 + x * -7) + -2 42 + 8x = (21 + -7x) + -2 Reorder the terms: 42 + 8x = 21 + -2 + -7x Combine like terms: 21 + -2 = 19 42 + 8x = 19 + -7x Solving 42 + 8x = 19 + -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. 42 + 8x + 7x = 19 + -7x + 7x Combine like terms: 8x + 7x = 15x 42 + 15x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 15x = 19 + 0 42 + 15x = 19 Add '-42' to each side of the equation. 42 + -42 + 15x = 19 + -42 Combine like terms: 42 + -42 = 0 0 + 15x = 19 + -42 15x = 19 + -42 Combine like terms: 19 + -42 = -23 15x = -23 Divide each side by '15'. x = -1.533333333 Simplifying x = -1.533333333
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