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Simplifying 3(2x + 3) = 5 + -4(x + -2) Reorder the terms: 3(3 + 2x) = 5 + -4(x + -2) (3 * 3 + 2x * 3) = 5 + -4(x + -2) (9 + 6x) = 5 + -4(x + -2) Reorder the terms: 9 + 6x = 5 + -4(-2 + x) 9 + 6x = 5 + (-2 * -4 + x * -4) 9 + 6x = 5 + (8 + -4x) Combine like terms: 5 + 8 = 13 9 + 6x = 13 + -4x Solving 9 + 6x = 13 + -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. 9 + 6x + 4x = 13 + -4x + 4x Combine like terms: 6x + 4x = 10x 9 + 10x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 10x = 13 + 0 9 + 10x = 13 Add '-9' to each side of the equation. 9 + -9 + 10x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 13 + -9 10x = 13 + -9 Combine like terms: 13 + -9 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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