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Simplifying 5(2 + -3x) + 18 = 2(5 + -2x) + -5 (2 * 5 + -3x * 5) + 18 = 2(5 + -2x) + -5 (10 + -15x) + 18 = 2(5 + -2x) + -5 Reorder the terms: 10 + 18 + -15x = 2(5 + -2x) + -5 Combine like terms: 10 + 18 = 28 28 + -15x = 2(5 + -2x) + -5 28 + -15x = (5 * 2 + -2x * 2) + -5 28 + -15x = (10 + -4x) + -5 Reorder the terms: 28 + -15x = 10 + -5 + -4x Combine like terms: 10 + -5 = 5 28 + -15x = 5 + -4x Solving 28 + -15x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 28 + -15x + 4x = 5 + -4x + 4x Combine like terms: -15x + 4x = -11x 28 + -11x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 28 + -11x = 5 + 0 28 + -11x = 5 Add '-28' to each side of the equation. 28 + -28 + -11x = 5 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = 5 + -28 -11x = 5 + -28 Combine like terms: 5 + -28 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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