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Simplifying 3(x + -3) + x = 5(7x + 2) + -3x Reorder the terms: 3(-3 + x) + x = 5(7x + 2) + -3x (-3 * 3 + x * 3) + x = 5(7x + 2) + -3x (-9 + 3x) + x = 5(7x + 2) + -3x Combine like terms: 3x + x = 4x -9 + 4x = 5(7x + 2) + -3x Reorder the terms: -9 + 4x = 5(2 + 7x) + -3x -9 + 4x = (2 * 5 + 7x * 5) + -3x -9 + 4x = (10 + 35x) + -3x Combine like terms: 35x + -3x = 32x -9 + 4x = 10 + 32x Solving -9 + 4x = 10 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -9 + 4x + -32x = 10 + 32x + -32x Combine like terms: 4x + -32x = -28x -9 + -28x = 10 + 32x + -32x Combine like terms: 32x + -32x = 0 -9 + -28x = 10 + 0 -9 + -28x = 10 Add '9' to each side of the equation. -9 + 9 + -28x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -28x = 10 + 9 -28x = 10 + 9 Combine like terms: 10 + 9 = 19 -28x = 19 Divide each side by '-28'. x = -0.6785714286 Simplifying x = -0.6785714286
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