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Simplifying 15(6x + -5) + -12(3x + -15) = 10(7x + -14) Reorder the terms: 15(-5 + 6x) + -12(3x + -15) = 10(7x + -14) (-5 * 15 + 6x * 15) + -12(3x + -15) = 10(7x + -14) (-75 + 90x) + -12(3x + -15) = 10(7x + -14) Reorder the terms: -75 + 90x + -12(-15 + 3x) = 10(7x + -14) -75 + 90x + (-15 * -12 + 3x * -12) = 10(7x + -14) -75 + 90x + (180 + -36x) = 10(7x + -14) Reorder the terms: -75 + 180 + 90x + -36x = 10(7x + -14) Combine like terms: -75 + 180 = 105 105 + 90x + -36x = 10(7x + -14) Combine like terms: 90x + -36x = 54x 105 + 54x = 10(7x + -14) Reorder the terms: 105 + 54x = 10(-14 + 7x) 105 + 54x = (-14 * 10 + 7x * 10) 105 + 54x = (-140 + 70x) Solving 105 + 54x = -140 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 105 + 54x + -70x = -140 + 70x + -70x Combine like terms: 54x + -70x = -16x 105 + -16x = -140 + 70x + -70x Combine like terms: 70x + -70x = 0 105 + -16x = -140 + 0 105 + -16x = -140 Add '-105' to each side of the equation. 105 + -105 + -16x = -140 + -105 Combine like terms: 105 + -105 = 0 0 + -16x = -140 + -105 -16x = -140 + -105 Combine like terms: -140 + -105 = -245 -16x = -245 Divide each side by '-16'. x = 15.3125 Simplifying x = 15.3125
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