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Simplifying 10x + 22x + -5 = (4x + 7) Reorder the terms: -5 + 10x + 22x = (4x + 7) Combine like terms: 10x + 22x = 32x -5 + 32x = (4x + 7) Reorder the terms: -5 + 32x = (7 + 4x) Remove parenthesis around (7 + 4x) -5 + 32x = 7 + 4x Solving -5 + 32x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 32x + -4x = 7 + 4x + -4x Combine like terms: 32x + -4x = 28x -5 + 28x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 28x = 7 + 0 -5 + 28x = 7 Add '5' to each side of the equation. -5 + 5 + 28x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 28x = 7 + 5 28x = 7 + 5 Combine like terms: 7 + 5 = 12 28x = 12 Divide each side by '28'. x = 0.4285714286 Simplifying x = 0.4285714286
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