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Simplifying 5(x + -2) + x = 6(x + 5) + -4x Reorder the terms: 5(-2 + x) + x = 6(x + 5) + -4x (-2 * 5 + x * 5) + x = 6(x + 5) + -4x (-10 + 5x) + x = 6(x + 5) + -4x Combine like terms: 5x + x = 6x -10 + 6x = 6(x + 5) + -4x Reorder the terms: -10 + 6x = 6(5 + x) + -4x -10 + 6x = (5 * 6 + x * 6) + -4x -10 + 6x = (30 + 6x) + -4x Combine like terms: 6x + -4x = 2x -10 + 6x = 30 + 2x Solving -10 + 6x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 6x + -2x = 30 + 2x + -2x Combine like terms: 6x + -2x = 4x -10 + 4x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 4x = 30 + 0 -10 + 4x = 30 Add '10' to each side of the equation. -10 + 10 + 4x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 30 + 10 4x = 30 + 10 Combine like terms: 30 + 10 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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