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