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Simplifying 7 + -2(3x + 5) + -1(2x) = -5 + 3 + -2x Reorder the terms: 7 + -2(5 + 3x) + -1(2x) = -5 + 3 + -2x 7 + (5 * -2 + 3x * -2) + -1(2x) = -5 + 3 + -2x 7 + (-10 + -6x) + -1(2x) = -5 + 3 + -2x Remove parenthesis around (2x) 7 + -10 + -6x + -1 * 2x = -5 + 3 + -2x Multiply -1 * 2 7 + -10 + -6x + -2x = -5 + 3 + -2x Combine like terms: 7 + -10 = -3 -3 + -6x + -2x = -5 + 3 + -2x Combine like terms: -6x + -2x = -8x -3 + -8x = -5 + 3 + -2x Combine like terms: -5 + 3 = -2 -3 + -8x = -2 + -2x Solving -3 + -8x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + -8x + 2x = -2 + -2x + 2x Combine like terms: -8x + 2x = -6x -3 + -6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -6x = -2 + 0 -3 + -6x = -2 Add '3' to each side of the equation. -3 + 3 + -6x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -2 + 3 -6x = -2 + 3 Combine like terms: -2 + 3 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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