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Simplifying 5(x + 3) = 7 + -3(2x + -4) Reorder the terms: 5(3 + x) = 7 + -3(2x + -4) (3 * 5 + x * 5) = 7 + -3(2x + -4) (15 + 5x) = 7 + -3(2x + -4) Reorder the terms: 15 + 5x = 7 + -3(-4 + 2x) 15 + 5x = 7 + (-4 * -3 + 2x * -3) 15 + 5x = 7 + (12 + -6x) Combine like terms: 7 + 12 = 19 15 + 5x = 19 + -6x Solving 15 + 5x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 5x + 6x = 19 + -6x + 6x Combine like terms: 5x + 6x = 11x 15 + 11x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 11x = 19 + 0 15 + 11x = 19 Add '-15' to each side of the equation. 15 + -15 + 11x = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 19 + -15 11x = 19 + -15 Combine like terms: 19 + -15 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636
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