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Simplifying 3(2x + -3) + -2(5 + -4x) = 2x + -1 Reorder the terms: 3(-3 + 2x) + -2(5 + -4x) = 2x + -1 (-3 * 3 + 2x * 3) + -2(5 + -4x) = 2x + -1 (-9 + 6x) + -2(5 + -4x) = 2x + -1 -9 + 6x + (5 * -2 + -4x * -2) = 2x + -1 -9 + 6x + (-10 + 8x) = 2x + -1 Reorder the terms: -9 + -10 + 6x + 8x = 2x + -1 Combine like terms: -9 + -10 = -19 -19 + 6x + 8x = 2x + -1 Combine like terms: 6x + 8x = 14x -19 + 14x = 2x + -1 Reorder the terms: -19 + 14x = -1 + 2x Solving -19 + 14x = -1 + 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. -19 + 14x + -2x = -1 + 2x + -2x Combine like terms: 14x + -2x = 12x -19 + 12x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 12x = -1 + 0 -19 + 12x = -1 Add '19' to each side of the equation. -19 + 19 + 12x = -1 + 19 Combine like terms: -19 + 19 = 0 0 + 12x = -1 + 19 12x = -1 + 19 Combine like terms: -1 + 19 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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