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Simplifying 15(3x + -2) + -12(4x + -1) = -14(2x + 5) Reorder the terms: 15(-2 + 3x) + -12(4x + -1) = -14(2x + 5) (-2 * 15 + 3x * 15) + -12(4x + -1) = -14(2x + 5) (-30 + 45x) + -12(4x + -1) = -14(2x + 5) Reorder the terms: -30 + 45x + -12(-1 + 4x) = -14(2x + 5) -30 + 45x + (-1 * -12 + 4x * -12) = -14(2x + 5) -30 + 45x + (12 + -48x) = -14(2x + 5) Reorder the terms: -30 + 12 + 45x + -48x = -14(2x + 5) Combine like terms: -30 + 12 = -18 -18 + 45x + -48x = -14(2x + 5) Combine like terms: 45x + -48x = -3x -18 + -3x = -14(2x + 5) Reorder the terms: -18 + -3x = -14(5 + 2x) -18 + -3x = (5 * -14 + 2x * -14) -18 + -3x = (-70 + -28x) Solving -18 + -3x = -70 + -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. -18 + -3x + 28x = -70 + -28x + 28x Combine like terms: -3x + 28x = 25x -18 + 25x = -70 + -28x + 28x Combine like terms: -28x + 28x = 0 -18 + 25x = -70 + 0 -18 + 25x = -70 Add '18' to each side of the equation. -18 + 18 + 25x = -70 + 18 Combine like terms: -18 + 18 = 0 0 + 25x = -70 + 18 25x = -70 + 18 Combine like terms: -70 + 18 = -52 25x = -52 Divide each side by '25'. x = -2.08 Simplifying x = -2.08
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