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Simplifying 7(x + 5) + 3 = -8(x + -1) + -2 Reorder the terms: 7(5 + x) + 3 = -8(x + -1) + -2 (5 * 7 + x * 7) + 3 = -8(x + -1) + -2 (35 + 7x) + 3 = -8(x + -1) + -2 Reorder the terms: 35 + 3 + 7x = -8(x + -1) + -2 Combine like terms: 35 + 3 = 38 38 + 7x = -8(x + -1) + -2 Reorder the terms: 38 + 7x = -8(-1 + x) + -2 38 + 7x = (-1 * -8 + x * -8) + -2 38 + 7x = (8 + -8x) + -2 Reorder the terms: 38 + 7x = 8 + -2 + -8x Combine like terms: 8 + -2 = 6 38 + 7x = 6 + -8x Solving 38 + 7x = 6 + -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. 38 + 7x + 8x = 6 + -8x + 8x Combine like terms: 7x + 8x = 15x 38 + 15x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 38 + 15x = 6 + 0 38 + 15x = 6 Add '-38' to each side of the equation. 38 + -38 + 15x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 15x = 6 + -38 15x = 6 + -38 Combine like terms: 6 + -38 = -32 15x = -32 Divide each side by '15'. x = -2.133333333 Simplifying x = -2.133333333
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