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Simplifying 15 + -1(15x + -1) = 2(7x + -16) + -1x Reorder the terms: 15 + -1(-1 + 15x) = 2(7x + -16) + -1x 15 + (-1 * -1 + 15x * -1) = 2(7x + -16) + -1x 15 + (1 + -15x) = 2(7x + -16) + -1x Combine like terms: 15 + 1 = 16 16 + -15x = 2(7x + -16) + -1x Reorder the terms: 16 + -15x = 2(-16 + 7x) + -1x 16 + -15x = (-16 * 2 + 7x * 2) + -1x 16 + -15x = (-32 + 14x) + -1x Combine like terms: 14x + -1x = 13x 16 + -15x = -32 + 13x Solving 16 + -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. 16 + -15x + -13x = -32 + 13x + -13x Combine like terms: -15x + -13x = -28x 16 + -28x = -32 + 13x + -13x Combine like terms: 13x + -13x = 0 16 + -28x = -32 + 0 16 + -28x = -32 Add '-16' to each side of the equation. 16 + -16 + -28x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -28x = -32 + -16 -28x = -32 + -16 Combine like terms: -32 + -16 = -48 -28x = -48 Divide each side by '-28'. x = 1.714285714 Simplifying x = 1.714285714
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