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Simplifying 14 + -2(3x + -5) = 4x + -7x + 1 Reorder the terms: 14 + -2(-5 + 3x) = 4x + -7x + 1 14 + (-5 * -2 + 3x * -2) = 4x + -7x + 1 14 + (10 + -6x) = 4x + -7x + 1 Combine like terms: 14 + 10 = 24 24 + -6x = 4x + -7x + 1 Reorder the terms: 24 + -6x = 1 + 4x + -7x Combine like terms: 4x + -7x = -3x 24 + -6x = 1 + -3x Solving 24 + -6x = 1 + -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. 24 + -6x + 3x = 1 + -3x + 3x Combine like terms: -6x + 3x = -3x 24 + -3x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + -3x = 1 + 0 24 + -3x = 1 Add '-24' to each side of the equation. 24 + -24 + -3x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 1 + -24 -3x = 1 + -24 Combine like terms: 1 + -24 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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