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Simplifying -7x + -49 = 8(x + 7) Reorder the terms: -49 + -7x = 8(x + 7) Reorder the terms: -49 + -7x = 8(7 + x) -49 + -7x = (7 * 8 + x * 8) -49 + -7x = (56 + 8x) Solving -49 + -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. -49 + -7x + -8x = 56 + 8x + -8x Combine like terms: -7x + -8x = -15x -49 + -15x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 -49 + -15x = 56 + 0 -49 + -15x = 56 Add '49' to each side of the equation. -49 + 49 + -15x = 56 + 49 Combine like terms: -49 + 49 = 0 0 + -15x = 56 + 49 -15x = 56 + 49 Combine like terms: 56 + 49 = 105 -15x = 105 Divide each side by '-15'. x = -7 Simplifying x = -7
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