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Simplifying 3 + -2(2 + 5x) = 1(2x + 3) 3 + (2 * -2 + 5x * -2) = 1(2x + 3) 3 + (-4 + -10x) = 1(2x + 3) Combine like terms: 3 + -4 = -1 -1 + -10x = 1(2x + 3) Reorder the terms: -1 + -10x = 1(3 + 2x) -1 + -10x = (3 * 1 + 2x * 1) -1 + -10x = (3 + 2x) Solving -1 + -10x = 3 + 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. -1 + -10x + -2x = 3 + 2x + -2x Combine like terms: -10x + -2x = -12x -1 + -12x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -12x = 3 + 0 -1 + -12x = 3 Add '1' to each side of the equation. -1 + 1 + -12x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 3 + 1 -12x = 3 + 1 Combine like terms: 3 + 1 = 4 -12x = 4 Divide each side by '-12'. x = -0.3333333333 Simplifying x = -0.3333333333
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