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Simplifying 7 + 14(2x + -1) = 3x + -5(x + -6) Reorder the terms: 7 + 14(-1 + 2x) = 3x + -5(x + -6) 7 + (-1 * 14 + 2x * 14) = 3x + -5(x + -6) 7 + (-14 + 28x) = 3x + -5(x + -6) Combine like terms: 7 + -14 = -7 -7 + 28x = 3x + -5(x + -6) Reorder the terms: -7 + 28x = 3x + -5(-6 + x) -7 + 28x = 3x + (-6 * -5 + x * -5) -7 + 28x = 3x + (30 + -5x) Reorder the terms: -7 + 28x = 30 + 3x + -5x Combine like terms: 3x + -5x = -2x -7 + 28x = 30 + -2x Solving -7 + 28x = 30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 28x + 2x = 30 + -2x + 2x Combine like terms: 28x + 2x = 30x -7 + 30x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 30x = 30 + 0 -7 + 30x = 30 Add '7' to each side of the equation. -7 + 7 + 30x = 30 + 7 Combine like terms: -7 + 7 = 0 0 + 30x = 30 + 7 30x = 30 + 7 Combine like terms: 30 + 7 = 37 30x = 37 Divide each side by '30'. x = 1.233333333 Simplifying x = 1.233333333
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