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Simplifying -14(2x + -3) = -6x + 12 + -2x Reorder the terms: -14(-3 + 2x) = -6x + 12 + -2x (-3 * -14 + 2x * -14) = -6x + 12 + -2x (42 + -28x) = -6x + 12 + -2x Reorder the terms: 42 + -28x = 12 + -6x + -2x Combine like terms: -6x + -2x = -8x 42 + -28x = 12 + -8x Solving 42 + -28x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 42 + -28x + 8x = 12 + -8x + 8x Combine like terms: -28x + 8x = -20x 42 + -20x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + -20x = 12 + 0 42 + -20x = 12 Add '-42' to each side of the equation. 42 + -42 + -20x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -20x = 12 + -42 -20x = 12 + -42 Combine like terms: 12 + -42 = -30 -20x = -30 Divide each side by '-20'. x = 1.5 Simplifying x = 1.5
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