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Simplifying -1(3x + 2) = 14(2x + -3) Reorder the terms: -1(2 + 3x) = 14(2x + -3) (2 * -1 + 3x * -1) = 14(2x + -3) (-2 + -3x) = 14(2x + -3) Reorder the terms: -2 + -3x = 14(-3 + 2x) -2 + -3x = (-3 * 14 + 2x * 14) -2 + -3x = (-42 + 28x) Solving -2 + -3x = -42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -2 + -3x + -28x = -42 + 28x + -28x Combine like terms: -3x + -28x = -31x -2 + -31x = -42 + 28x + -28x Combine like terms: 28x + -28x = 0 -2 + -31x = -42 + 0 -2 + -31x = -42 Add '2' to each side of the equation. -2 + 2 + -31x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -31x = -42 + 2 -31x = -42 + 2 Combine like terms: -42 + 2 = -40 -31x = -40 Divide each side by '-31'. x = 1.290322581 Simplifying x = 1.290322581
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