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Simplifying 5(3x + -12) + -4(2x + 10) + 6 = 14 Reorder the terms: 5(-12 + 3x) + -4(2x + 10) + 6 = 14 (-12 * 5 + 3x * 5) + -4(2x + 10) + 6 = 14 (-60 + 15x) + -4(2x + 10) + 6 = 14 Reorder the terms: -60 + 15x + -4(10 + 2x) + 6 = 14 -60 + 15x + (10 * -4 + 2x * -4) + 6 = 14 -60 + 15x + (-40 + -8x) + 6 = 14 Reorder the terms: -60 + -40 + 6 + 15x + -8x = 14 Combine like terms: -60 + -40 = -100 -100 + 6 + 15x + -8x = 14 Combine like terms: -100 + 6 = -94 -94 + 15x + -8x = 14 Combine like terms: 15x + -8x = 7x -94 + 7x = 14 Solving -94 + 7x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + 7x = 14 + 94 Combine like terms: -94 + 94 = 0 0 + 7x = 14 + 94 7x = 14 + 94 Combine like terms: 14 + 94 = 108 7x = 108 Divide each side by '7'. x = 15.42857143 Simplifying x = 15.42857143
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