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Simplifying 5(2x + -4) + -3(x + -7) = 6 Reorder the terms: 5(-4 + 2x) + -3(x + -7) = 6 (-4 * 5 + 2x * 5) + -3(x + -7) = 6 (-20 + 10x) + -3(x + -7) = 6 Reorder the terms: -20 + 10x + -3(-7 + x) = 6 -20 + 10x + (-7 * -3 + x * -3) = 6 -20 + 10x + (21 + -3x) = 6 Reorder the terms: -20 + 21 + 10x + -3x = 6 Combine like terms: -20 + 21 = 1 1 + 10x + -3x = 6 Combine like terms: 10x + -3x = 7x 1 + 7x = 6 Solving 1 + 7x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 6 + -1 7x = 6 + -1 Combine like terms: 6 + -1 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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