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Simplifying -1 = -7x + 5(3x + 11) Reorder the terms: -1 = -7x + 5(11 + 3x) -1 = -7x + (11 * 5 + 3x * 5) -1 = -7x + (55 + 15x) Reorder the terms: -1 = 55 + -7x + 15x Combine like terms: -7x + 15x = 8x -1 = 55 + 8x Solving -1 = 55 + 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. -1 + -8x = 55 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -8x = 55 + 0 -1 + -8x = 55 Add '1' to each side of the equation. -1 + 1 + -8x = 55 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 55 + 1 -8x = 55 + 1 Combine like terms: 55 + 1 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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