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Simplifying 7x + -3(x + -2) * 5 = 3x + 7 Reorder the terms: 7x + -3(-2 + x) * 5 = 3x + 7 Reorder the terms for easier multiplication: 7x + -3 * 5(-2 + x) = 3x + 7 Multiply -3 * 5 7x + -15(-2 + x) = 3x + 7 7x + (-2 * -15 + x * -15) = 3x + 7 7x + (30 + -15x) = 3x + 7 Reorder the terms: 30 + 7x + -15x = 3x + 7 Combine like terms: 7x + -15x = -8x 30 + -8x = 3x + 7 Reorder the terms: 30 + -8x = 7 + 3x Solving 30 + -8x = 7 + 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. 30 + -8x + -3x = 7 + 3x + -3x Combine like terms: -8x + -3x = -11x 30 + -11x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -11x = 7 + 0 30 + -11x = 7 Add '-30' to each side of the equation. 30 + -30 + -11x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = 7 + -30 -11x = 7 + -30 Combine like terms: 7 + -30 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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