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Simplifying 7x + -15 = 8 + -5(3x + 1) Reorder the terms: -15 + 7x = 8 + -5(3x + 1) Reorder the terms: -15 + 7x = 8 + -5(1 + 3x) -15 + 7x = 8 + (1 * -5 + 3x * -5) -15 + 7x = 8 + (-5 + -15x) Combine like terms: 8 + -5 = 3 -15 + 7x = 3 + -15x Solving -15 + 7x = 3 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -15 + 7x + 15x = 3 + -15x + 15x Combine like terms: 7x + 15x = 22x -15 + 22x = 3 + -15x + 15x Combine like terms: -15x + 15x = 0 -15 + 22x = 3 + 0 -15 + 22x = 3 Add '15' to each side of the equation. -15 + 15 + 22x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = 3 + 15 22x = 3 + 15 Combine like terms: 3 + 15 = 18 22x = 18 Divide each side by '22'. x = 0.8181818182 Simplifying x = 0.8181818182
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