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Simplifying (x + -3) + 13x = 5(7 + 4x) Reorder the terms: (-3 + x) + 13x = 5(7 + 4x) Remove parenthesis around (-3 + x) -3 + x + 13x = 5(7 + 4x) Combine like terms: x + 13x = 14x -3 + 14x = 5(7 + 4x) -3 + 14x = (7 * 5 + 4x * 5) -3 + 14x = (35 + 20x) Solving -3 + 14x = 35 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -3 + 14x + -20x = 35 + 20x + -20x Combine like terms: 14x + -20x = -6x -3 + -6x = 35 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + -6x = 35 + 0 -3 + -6x = 35 Add '3' to each side of the equation. -3 + 3 + -6x = 35 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 35 + 3 -6x = 35 + 3 Combine like terms: 35 + 3 = 38 -6x = 38 Divide each side by '-6'. x = -6.333333333 Simplifying x = -6.333333333
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