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Simplifying -5 + -1(15x + -1) = 2(7 + -16) + -1x Reorder the terms: -5 + -1(-1 + 15x) = 2(7 + -16) + -1x -5 + (-1 * -1 + 15x * -1) = 2(7 + -16) + -1x -5 + (1 + -15x) = 2(7 + -16) + -1x Combine like terms: -5 + 1 = -4 -4 + -15x = 2(7 + -16) + -1x Combine like terms: 7 + -16 = -9 -4 + -15x = 2(-9) + -1x Multiply 2 * -9 -4 + -15x = -18 + -1x Solving -4 + -15x = -18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + -15x + x = -18 + -1x + x Combine like terms: -15x + x = -14x -4 + -14x = -18 + -1x + x Combine like terms: -1x + x = 0 -4 + -14x = -18 + 0 -4 + -14x = -18 Add '4' to each side of the equation. -4 + 4 + -14x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = -18 + 4 -14x = -18 + 4 Combine like terms: -18 + 4 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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