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Simplifying 4(5x + -3) = 2x + 18 + 3x Reorder the terms: 4(-3 + 5x) = 2x + 18 + 3x (-3 * 4 + 5x * 4) = 2x + 18 + 3x (-12 + 20x) = 2x + 18 + 3x Reorder the terms: -12 + 20x = 18 + 2x + 3x Combine like terms: 2x + 3x = 5x -12 + 20x = 18 + 5x Solving -12 + 20x = 18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 20x + -5x = 18 + 5x + -5x Combine like terms: 20x + -5x = 15x -12 + 15x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 15x = 18 + 0 -12 + 15x = 18 Add '12' to each side of the equation. -12 + 12 + 15x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 18 + 12 15x = 18 + 12 Combine like terms: 18 + 12 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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