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Simplifying -7x + -34 = 8(x + 7) Reorder the terms: -34 + -7x = 8(x + 7) Reorder the terms: -34 + -7x = 8(7 + x) -34 + -7x = (7 * 8 + x * 8) -34 + -7x = (56 + 8x) Solving -34 + -7x = 56 + 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. -34 + -7x + -8x = 56 + 8x + -8x Combine like terms: -7x + -8x = -15x -34 + -15x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -15x = 56 + 0 -34 + -15x = 56 Add '34' to each side of the equation. -34 + 34 + -15x = 56 + 34 Combine like terms: -34 + 34 = 0 0 + -15x = 56 + 34 -15x = 56 + 34 Combine like terms: 56 + 34 = 90 -15x = 90 Divide each side by '-15'. x = -6 Simplifying x = -6
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