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Simplifying 7x + -4 + 2(x + -10) = 5x + 4 Reorder the terms: 7x + -4 + 2(-10 + x) = 5x + 4 7x + -4 + (-10 * 2 + x * 2) = 5x + 4 7x + -4 + (-20 + 2x) = 5x + 4 Reorder the terms: -4 + -20 + 7x + 2x = 5x + 4 Combine like terms: -4 + -20 = -24 -24 + 7x + 2x = 5x + 4 Combine like terms: 7x + 2x = 9x -24 + 9x = 5x + 4 Reorder the terms: -24 + 9x = 4 + 5x Solving -24 + 9x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 9x + -5x = 4 + 5x + -5x Combine like terms: 9x + -5x = 4x -24 + 4x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 4x = 4 + 0 -24 + 4x = 4 Add '24' to each side of the equation. -24 + 24 + 4x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 4 + 24 4x = 4 + 24 Combine like terms: 4 + 24 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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