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Simplifying 7(x + 5) + 4 = -8(x + -1) + -2 Reorder the terms: 7(5 + x) + 4 = -8(x + -1) + -2 (5 * 7 + x * 7) + 4 = -8(x + -1) + -2 (35 + 7x) + 4 = -8(x + -1) + -2 Reorder the terms: 35 + 4 + 7x = -8(x + -1) + -2 Combine like terms: 35 + 4 = 39 39 + 7x = -8(x + -1) + -2 Reorder the terms: 39 + 7x = -8(-1 + x) + -2 39 + 7x = (-1 * -8 + x * -8) + -2 39 + 7x = (8 + -8x) + -2 Reorder the terms: 39 + 7x = 8 + -2 + -8x Combine like terms: 8 + -2 = 6 39 + 7x = 6 + -8x Solving 39 + 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. 39 + 7x + 8x = 6 + -8x + 8x Combine like terms: 7x + 8x = 15x 39 + 15x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 39 + 15x = 6 + 0 39 + 15x = 6 Add '-39' to each side of the equation. 39 + -39 + 15x = 6 + -39 Combine like terms: 39 + -39 = 0 0 + 15x = 6 + -39 15x = 6 + -39 Combine like terms: 6 + -39 = -33 15x = -33 Divide each side by '15'. x = -2.2 Simplifying x = -2.2
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