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Simplifying 5(x + -2) + x = 4(x + -1) Reorder the terms: 5(-2 + x) + x = 4(x + -1) (-2 * 5 + x * 5) + x = 4(x + -1) (-10 + 5x) + x = 4(x + -1) Combine like terms: 5x + x = 6x -10 + 6x = 4(x + -1) Reorder the terms: -10 + 6x = 4(-1 + x) -10 + 6x = (-1 * 4 + x * 4) -10 + 6x = (-4 + 4x) Solving -10 + 6x = -4 + 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. -10 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x -10 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 2x = -4 + 0 -10 + 2x = -4 Add '10' to each side of the equation. -10 + 10 + 2x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -4 + 10 2x = -4 + 10 Combine like terms: -4 + 10 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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