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Simplifying 3x + -5(x + 2) = 4(x + 2) Reorder the terms: 3x + -5(2 + x) = 4(x + 2) 3x + (2 * -5 + x * -5) = 4(x + 2) 3x + (-10 + -5x) = 4(x + 2) Reorder the terms: -10 + 3x + -5x = 4(x + 2) Combine like terms: 3x + -5x = -2x -10 + -2x = 4(x + 2) Reorder the terms: -10 + -2x = 4(2 + x) -10 + -2x = (2 * 4 + x * 4) -10 + -2x = (8 + 4x) Solving -10 + -2x = 8 + 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 + -2x + -4x = 8 + 4x + -4x Combine like terms: -2x + -4x = -6x -10 + -6x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -6x = 8 + 0 -10 + -6x = 8 Add '10' to each side of the equation. -10 + 10 + -6x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 8 + 10 -6x = 8 + 10 Combine like terms: 8 + 10 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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