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Simplifying 4(3x + -3) + 5x = 7x + 38 Reorder the terms: 4(-3 + 3x) + 5x = 7x + 38 (-3 * 4 + 3x * 4) + 5x = 7x + 38 (-12 + 12x) + 5x = 7x + 38 Combine like terms: 12x + 5x = 17x -12 + 17x = 7x + 38 Reorder the terms: -12 + 17x = 38 + 7x Solving -12 + 17x = 38 + 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. -12 + 17x + -7x = 38 + 7x + -7x Combine like terms: 17x + -7x = 10x -12 + 10x = 38 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 10x = 38 + 0 -12 + 10x = 38 Add '12' to each side of the equation. -12 + 12 + 10x = 38 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 38 + 12 10x = 38 + 12 Combine like terms: 38 + 12 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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