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Simplifying -2x + -15 = -1 + 2(x + 1) Reorder the terms: -15 + -2x = -1 + 2(x + 1) Reorder the terms: -15 + -2x = -1 + 2(1 + x) -15 + -2x = -1 + (1 * 2 + x * 2) -15 + -2x = -1 + (2 + 2x) Combine like terms: -1 + 2 = 1 -15 + -2x = 1 + 2x Solving -15 + -2x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -2x + -2x = 1 + 2x + -2x Combine like terms: -2x + -2x = -4x -15 + -4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -4x = 1 + 0 -15 + -4x = 1 Add '15' to each side of the equation. -15 + 15 + -4x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 1 + 15 -4x = 1 + 15 Combine like terms: 1 + 15 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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