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Simplifying 5(2 + -3x) = 7 + -2x (2 * 5 + -3x * 5) = 7 + -2x (10 + -15x) = 7 + -2x Solving 10 + -15x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -15x + 2x = 7 + -2x + 2x Combine like terms: -15x + 2x = -13x 10 + -13x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -13x = 7 + 0 10 + -13x = 7 Add '-10' to each side of the equation. 10 + -10 + -13x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = 7 + -10 -13x = 7 + -10 Combine like terms: 7 + -10 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308
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