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Simplifying 52x + -1(14 + -13x) + -6x = 43 + 4x 52x + (14 * -1 + -13x * -1) + -6x = 43 + 4x 52x + (-14 + 13x) + -6x = 43 + 4x Reorder the terms: -14 + 52x + 13x + -6x = 43 + 4x Combine like terms: 52x + 13x = 65x -14 + 65x + -6x = 43 + 4x Combine like terms: 65x + -6x = 59x -14 + 59x = 43 + 4x Solving -14 + 59x = 43 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 59x + -4x = 43 + 4x + -4x Combine like terms: 59x + -4x = 55x -14 + 55x = 43 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 55x = 43 + 0 -14 + 55x = 43 Add '14' to each side of the equation. -14 + 14 + 55x = 43 + 14 Combine like terms: -14 + 14 = 0 0 + 55x = 43 + 14 55x = 43 + 14 Combine like terms: 43 + 14 = 57 55x = 57 Divide each side by '55'. x = 1.036363636 Simplifying x = 1.036363636
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