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Simplifying 7(x + -2) + -5(6x + 3) = -1 + -9x Reorder the terms: 7(-2 + x) + -5(6x + 3) = -1 + -9x (-2 * 7 + x * 7) + -5(6x + 3) = -1 + -9x (-14 + 7x) + -5(6x + 3) = -1 + -9x Reorder the terms: -14 + 7x + -5(3 + 6x) = -1 + -9x -14 + 7x + (3 * -5 + 6x * -5) = -1 + -9x -14 + 7x + (-15 + -30x) = -1 + -9x Reorder the terms: -14 + -15 + 7x + -30x = -1 + -9x Combine like terms: -14 + -15 = -29 -29 + 7x + -30x = -1 + -9x Combine like terms: 7x + -30x = -23x -29 + -23x = -1 + -9x Solving -29 + -23x = -1 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -29 + -23x + 9x = -1 + -9x + 9x Combine like terms: -23x + 9x = -14x -29 + -14x = -1 + -9x + 9x Combine like terms: -9x + 9x = 0 -29 + -14x = -1 + 0 -29 + -14x = -1 Add '29' to each side of the equation. -29 + 29 + -14x = -1 + 29 Combine like terms: -29 + 29 = 0 0 + -14x = -1 + 29 -14x = -1 + 29 Combine like terms: -1 + 29 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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