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Simplifying 3(6x + -4) + 2 + -4(-7x + 5) = 3x + -5 Reorder the terms: 3(-4 + 6x) + 2 + -4(-7x + 5) = 3x + -5 (-4 * 3 + 6x * 3) + 2 + -4(-7x + 5) = 3x + -5 (-12 + 18x) + 2 + -4(-7x + 5) = 3x + -5 Reorder the terms: -12 + 18x + 2 + -4(5 + -7x) = 3x + -5 -12 + 18x + 2 + (5 * -4 + -7x * -4) = 3x + -5 -12 + 18x + 2 + (-20 + 28x) = 3x + -5 Reorder the terms: -12 + 2 + -20 + 18x + 28x = 3x + -5 Combine like terms: -12 + 2 = -10 -10 + -20 + 18x + 28x = 3x + -5 Combine like terms: -10 + -20 = -30 -30 + 18x + 28x = 3x + -5 Combine like terms: 18x + 28x = 46x -30 + 46x = 3x + -5 Reorder the terms: -30 + 46x = -5 + 3x Solving -30 + 46x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 46x + -3x = -5 + 3x + -3x Combine like terms: 46x + -3x = 43x -30 + 43x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 43x = -5 + 0 -30 + 43x = -5 Add '30' to each side of the equation. -30 + 30 + 43x = -5 + 30 Combine like terms: -30 + 30 = 0 0 + 43x = -5 + 30 43x = -5 + 30 Combine like terms: -5 + 30 = 25 43x = 25 Divide each side by '43'. x = 0.5813953488 Simplifying x = 0.5813953488
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