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Simplifying 5(x + -2) + x = 5(x + 3) + -4x Reorder the terms: 5(-2 + x) + x = 5(x + 3) + -4x (-2 * 5 + x * 5) + x = 5(x + 3) + -4x (-10 + 5x) + x = 5(x + 3) + -4x Combine like terms: 5x + x = 6x -10 + 6x = 5(x + 3) + -4x Reorder the terms: -10 + 6x = 5(3 + x) + -4x -10 + 6x = (3 * 5 + x * 5) + -4x -10 + 6x = (15 + 5x) + -4x Combine like terms: 5x + -4x = 1x -10 + 6x = 15 + 1x Solving -10 + 6x = 15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 6x + -1x = 15 + 1x + -1x Combine like terms: 6x + -1x = 5x -10 + 5x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 5x = 15 + 0 -10 + 5x = 15 Add '10' to each side of the equation. -10 + 10 + 5x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 15 + 10 5x = 15 + 10 Combine like terms: 15 + 10 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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