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Simplifying 4 + -1(2 + -3x) = 7 + -2(x + -3) 4 + (2 * -1 + -3x * -1) = 7 + -2(x + -3) 4 + (-2 + 3x) = 7 + -2(x + -3) Combine like terms: 4 + -2 = 2 2 + 3x = 7 + -2(x + -3) Reorder the terms: 2 + 3x = 7 + -2(-3 + x) 2 + 3x = 7 + (-3 * -2 + x * -2) 2 + 3x = 7 + (6 + -2x) Combine like terms: 7 + 6 = 13 2 + 3x = 13 + -2x Solving 2 + 3x = 13 + -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. 2 + 3x + 2x = 13 + -2x + 2x Combine like terms: 3x + 2x = 5x 2 + 5x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 5x = 13 + 0 2 + 5x = 13 Add '-2' to each side of the equation. 2 + -2 + 5x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 13 + -2 5x = 13 + -2 Combine like terms: 13 + -2 = 11 5x = 11 Divide each side by '5'. x = 2.2 Simplifying x = 2.2
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