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Simplifying 7x + -2(8x + 1) = 6 + -1(15x + 2) Reorder the terms: 7x + -2(1 + 8x) = 6 + -1(15x + 2) 7x + (1 * -2 + 8x * -2) = 6 + -1(15x + 2) 7x + (-2 + -16x) = 6 + -1(15x + 2) Reorder the terms: -2 + 7x + -16x = 6 + -1(15x + 2) Combine like terms: 7x + -16x = -9x -2 + -9x = 6 + -1(15x + 2) Reorder the terms: -2 + -9x = 6 + -1(2 + 15x) -2 + -9x = 6 + (2 * -1 + 15x * -1) -2 + -9x = 6 + (-2 + -15x) Combine like terms: 6 + -2 = 4 -2 + -9x = 4 + -15x Solving -2 + -9x = 4 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -2 + -9x + 15x = 4 + -15x + 15x Combine like terms: -9x + 15x = 6x -2 + 6x = 4 + -15x + 15x Combine like terms: -15x + 15x = 0 -2 + 6x = 4 + 0 -2 + 6x = 4 Add '2' to each side of the equation. -2 + 2 + 6x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 4 + 2 6x = 4 + 2 Combine like terms: 4 + 2 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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