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Simplifying 7x + -4 = 2(5 + -3x) Reorder the terms: -4 + 7x = 2(5 + -3x) -4 + 7x = (5 * 2 + -3x * 2) -4 + 7x = (10 + -6x) Solving -4 + 7x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -4 + 7x + 6x = 10 + -6x + 6x Combine like terms: 7x + 6x = 13x -4 + 13x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 13x = 10 + 0 -4 + 13x = 10 Add '4' to each side of the equation. -4 + 4 + 13x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 10 + 4 13x = 10 + 4 Combine like terms: 10 + 4 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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