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Simplifying 3(5x + 1) = 2(7x + -3) + -4 Reorder the terms: 3(1 + 5x) = 2(7x + -3) + -4 (1 * 3 + 5x * 3) = 2(7x + -3) + -4 (3 + 15x) = 2(7x + -3) + -4 Reorder the terms: 3 + 15x = 2(-3 + 7x) + -4 3 + 15x = (-3 * 2 + 7x * 2) + -4 3 + 15x = (-6 + 14x) + -4 Reorder the terms: 3 + 15x = -6 + -4 + 14x Combine like terms: -6 + -4 = -10 3 + 15x = -10 + 14x Solving 3 + 15x = -10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 3 + 15x + -14x = -10 + 14x + -14x Combine like terms: 15x + -14x = 1x 3 + 1x = -10 + 14x + -14x Combine like terms: 14x + -14x = 0 3 + 1x = -10 + 0 3 + 1x = -10 Add '-3' to each side of the equation. 3 + -3 + 1x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -10 + -3 1x = -10 + -3 Combine like terms: -10 + -3 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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