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Simplifying -1(15x + -1) + -5 = 2(7x + -16) + -1x Reorder the terms: -1(-1 + 15x) + -5 = 2(7x + -16) + -1x (-1 * -1 + 15x * -1) + -5 = 2(7x + -16) + -1x (1 + -15x) + -5 = 2(7x + -16) + -1x Reorder the terms: 1 + -5 + -15x = 2(7x + -16) + -1x Combine like terms: 1 + -5 = -4 -4 + -15x = 2(7x + -16) + -1x Reorder the terms: -4 + -15x = 2(-16 + 7x) + -1x -4 + -15x = (-16 * 2 + 7x * 2) + -1x -4 + -15x = (-32 + 14x) + -1x Combine like terms: 14x + -1x = 13x -4 + -15x = -32 + 13x Solving -4 + -15x = -32 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -4 + -15x + -13x = -32 + 13x + -13x Combine like terms: -15x + -13x = -28x -4 + -28x = -32 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -28x = -32 + 0 -4 + -28x = -32 Add '4' to each side of the equation. -4 + 4 + -28x = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -28x = -32 + 4 -28x = -32 + 4 Combine like terms: -32 + 4 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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