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Simplifying 2(2x + -17) + 4 = -3(3 + x) Reorder the terms: 2(-17 + 2x) + 4 = -3(3 + x) (-17 * 2 + 2x * 2) + 4 = -3(3 + x) (-34 + 4x) + 4 = -3(3 + x) Reorder the terms: -34 + 4 + 4x = -3(3 + x) Combine like terms: -34 + 4 = -30 -30 + 4x = -3(3 + x) -30 + 4x = (3 * -3 + x * -3) -30 + 4x = (-9 + -3x) Solving -30 + 4x = -9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 4x + 3x = -9 + -3x + 3x Combine like terms: 4x + 3x = 7x -30 + 7x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 7x = -9 + 0 -30 + 7x = -9 Add '30' to each side of the equation. -30 + 30 + 7x = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = -9 + 30 7x = -9 + 30 Combine like terms: -9 + 30 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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