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Simplifying 5(3x + 1) = 4x + -7x Reorder the terms: 5(1 + 3x) = 4x + -7x (1 * 5 + 3x * 5) = 4x + -7x (5 + 15x) = 4x + -7x Combine like terms: 4x + -7x = -3x 5 + 15x = -3x Solving 5 + 15x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + 15x + 3x = -3x + 3x Combine like terms: 15x + 3x = 18x 5 + 18x = -3x + 3x Combine like terms: -3x + 3x = 0 5 + 18x = 0 Add '-5' to each side of the equation. 5 + -5 + 18x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 18x = 0 + -5 18x = 0 + -5 Combine like terms: 0 + -5 = -5 18x = -5 Divide each side by '18'. x = -0.2777777778 Simplifying x = -0.2777777778
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