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Simplifying 5(2 + 3x) = 1 + -7x + 3 (2 * 5 + 3x * 5) = 1 + -7x + 3 (10 + 15x) = 1 + -7x + 3 Reorder the terms: 10 + 15x = 1 + 3 + -7x Combine like terms: 1 + 3 = 4 10 + 15x = 4 + -7x Solving 10 + 15x = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + 15x + 7x = 4 + -7x + 7x Combine like terms: 15x + 7x = 22x 10 + 22x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 22x = 4 + 0 10 + 22x = 4 Add '-10' to each side of the equation. 10 + -10 + 22x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 22x = 4 + -10 22x = 4 + -10 Combine like terms: 4 + -10 = -6 22x = -6 Divide each side by '22'. x = -0.2727272727 Simplifying x = -0.2727272727
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