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Simplifying 5x + -2 = 4 + -3(x + 2) Reorder the terms: -2 + 5x = 4 + -3(x + 2) Reorder the terms: -2 + 5x = 4 + -3(2 + x) -2 + 5x = 4 + (2 * -3 + x * -3) -2 + 5x = 4 + (-6 + -3x) Combine like terms: 4 + -6 = -2 -2 + 5x = -2 + -3x Add '2' to each side of the equation. -2 + 2 + 5x = -2 + 2 + -3x Combine like terms: -2 + 2 = 0 0 + 5x = -2 + 2 + -3x 5x = -2 + 2 + -3x Combine like terms: -2 + 2 = 0 5x = 0 + -3x 5x = -3x Solving 5x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 8x = -3x + 3x Combine like terms: -3x + 3x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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