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Simplifying 4(3x + -5) = 7(x + -3) + 18 Reorder the terms: 4(-5 + 3x) = 7(x + -3) + 18 (-5 * 4 + 3x * 4) = 7(x + -3) + 18 (-20 + 12x) = 7(x + -3) + 18 Reorder the terms: -20 + 12x = 7(-3 + x) + 18 -20 + 12x = (-3 * 7 + x * 7) + 18 -20 + 12x = (-21 + 7x) + 18 Reorder the terms: -20 + 12x = -21 + 18 + 7x Combine like terms: -21 + 18 = -3 -20 + 12x = -3 + 7x Solving -20 + 12x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 12x + -7x = -3 + 7x + -7x Combine like terms: 12x + -7x = 5x -20 + 5x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 5x = -3 + 0 -20 + 5x = -3 Add '20' to each side of the equation. -20 + 20 + 5x = -3 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -3 + 20 5x = -3 + 20 Combine like terms: -3 + 20 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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