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Simplifying 7x + 1 = 5x + -3(2 + -5x) + 3 Reorder the terms: 1 + 7x = 5x + -3(2 + -5x) + 3 1 + 7x = 5x + (2 * -3 + -5x * -3) + 3 1 + 7x = 5x + (-6 + 15x) + 3 Reorder the terms: 1 + 7x = -6 + 3 + 5x + 15x Combine like terms: -6 + 3 = -3 1 + 7x = -3 + 5x + 15x Combine like terms: 5x + 15x = 20x 1 + 7x = -3 + 20x Solving 1 + 7x = -3 + 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. 1 + 7x + -20x = -3 + 20x + -20x Combine like terms: 7x + -20x = -13x 1 + -13x = -3 + 20x + -20x Combine like terms: 20x + -20x = 0 1 + -13x = -3 + 0 1 + -13x = -3 Add '-1' to each side of the equation. 1 + -1 + -13x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = -3 + -1 -13x = -3 + -1 Combine like terms: -3 + -1 = -4 -13x = -4 Divide each side by '-13'. x = 0.3076923077 Simplifying x = 0.3076923077
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