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Simplifying 14(3x + -5) = 19x + -1 Reorder the terms: 14(-5 + 3x) = 19x + -1 (-5 * 14 + 3x * 14) = 19x + -1 (-70 + 42x) = 19x + -1 Reorder the terms: -70 + 42x = -1 + 19x Solving -70 + 42x = -1 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -70 + 42x + -19x = -1 + 19x + -19x Combine like terms: 42x + -19x = 23x -70 + 23x = -1 + 19x + -19x Combine like terms: 19x + -19x = 0 -70 + 23x = -1 + 0 -70 + 23x = -1 Add '70' to each side of the equation. -70 + 70 + 23x = -1 + 70 Combine like terms: -70 + 70 = 0 0 + 23x = -1 + 70 23x = -1 + 70 Combine like terms: -1 + 70 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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