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Simplifying 4(7x + -3) + 11 = 14x + -5 + 2 Reorder the terms: 4(-3 + 7x) + 11 = 14x + -5 + 2 (-3 * 4 + 7x * 4) + 11 = 14x + -5 + 2 (-12 + 28x) + 11 = 14x + -5 + 2 Reorder the terms: -12 + 11 + 28x = 14x + -5 + 2 Combine like terms: -12 + 11 = -1 -1 + 28x = 14x + -5 + 2 Reorder the terms: -1 + 28x = -5 + 2 + 14x Combine like terms: -5 + 2 = -3 -1 + 28x = -3 + 14x Solving -1 + 28x = -3 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -1 + 28x + -14x = -3 + 14x + -14x Combine like terms: 28x + -14x = 14x -1 + 14x = -3 + 14x + -14x Combine like terms: 14x + -14x = 0 -1 + 14x = -3 + 0 -1 + 14x = -3 Add '1' to each side of the equation. -1 + 1 + 14x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = -3 + 1 14x = -3 + 1 Combine like terms: -3 + 1 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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