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Simplifying 5(x + -2) + -3(x + 2) = 4x Reorder the terms: 5(-2 + x) + -3(x + 2) = 4x (-2 * 5 + x * 5) + -3(x + 2) = 4x (-10 + 5x) + -3(x + 2) = 4x Reorder the terms: -10 + 5x + -3(2 + x) = 4x -10 + 5x + (2 * -3 + x * -3) = 4x -10 + 5x + (-6 + -3x) = 4x Reorder the terms: -10 + -6 + 5x + -3x = 4x Combine like terms: -10 + -6 = -16 -16 + 5x + -3x = 4x Combine like terms: 5x + -3x = 2x -16 + 2x = 4x Solving -16 + 2x = 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. -16 + 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -16 + -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -2x = 0 Add '16' to each side of the equation. -16 + 16 + -2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 0 + 16 -2x = 0 + 16 Combine like terms: 0 + 16 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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