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Simplifying 2(5x + 3) = 4(7 + -3x) Reorder the terms: 2(3 + 5x) = 4(7 + -3x) (3 * 2 + 5x * 2) = 4(7 + -3x) (6 + 10x) = 4(7 + -3x) 6 + 10x = (7 * 4 + -3x * 4) 6 + 10x = (28 + -12x) Solving 6 + 10x = 28 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + 10x + 12x = 28 + -12x + 12x Combine like terms: 10x + 12x = 22x 6 + 22x = 28 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 22x = 28 + 0 6 + 22x = 28 Add '-6' to each side of the equation. 6 + -6 + 22x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 22x = 28 + -6 22x = 28 + -6 Combine like terms: 28 + -6 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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