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Simplifying 4(3x + -5) + -13 = 7x + -3 Reorder the terms: 4(-5 + 3x) + -13 = 7x + -3 (-5 * 4 + 3x * 4) + -13 = 7x + -3 (-20 + 12x) + -13 = 7x + -3 Reorder the terms: -20 + -13 + 12x = 7x + -3 Combine like terms: -20 + -13 = -33 -33 + 12x = 7x + -3 Reorder the terms: -33 + 12x = -3 + 7x Solving -33 + 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. -33 + 12x + -7x = -3 + 7x + -7x Combine like terms: 12x + -7x = 5x -33 + 5x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + 5x = -3 + 0 -33 + 5x = -3 Add '33' to each side of the equation. -33 + 33 + 5x = -3 + 33 Combine like terms: -33 + 33 = 0 0 + 5x = -3 + 33 5x = -3 + 33 Combine like terms: -3 + 33 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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