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Simplifying 3(5x + -2) = 4(3x + 3) Reorder the terms: 3(-2 + 5x) = 4(3x + 3) (-2 * 3 + 5x * 3) = 4(3x + 3) (-6 + 15x) = 4(3x + 3) Reorder the terms: -6 + 15x = 4(3 + 3x) -6 + 15x = (3 * 4 + 3x * 4) -6 + 15x = (12 + 12x) Solving -6 + 15x = 12 + 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 + 15x + -12x = 12 + 12x + -12x Combine like terms: 15x + -12x = 3x -6 + 3x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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