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Simplifying 2(5x + -3) = 4(3x + 9) Reorder the terms: 2(-3 + 5x) = 4(3x + 9) (-3 * 2 + 5x * 2) = 4(3x + 9) (-6 + 10x) = 4(3x + 9) Reorder the terms: -6 + 10x = 4(9 + 3x) -6 + 10x = (9 * 4 + 3x * 4) -6 + 10x = (36 + 12x) Solving -6 + 10x = 36 + 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 = 36 + 12x + -12x Combine like terms: 10x + -12x = -2x -6 + -2x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -2x = 36 + 0 -6 + -2x = 36 Add '6' to each side of the equation. -6 + 6 + -2x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 36 + 6 -2x = 36 + 6 Combine like terms: 36 + 6 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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