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Simplifying 5(x + -2) * 2 + -8 = 2x + 4 Reorder the terms: 5(-2 + x) * 2 + -8 = 2x + 4 Reorder the terms for easier multiplication: 5 * 2(-2 + x) + -8 = 2x + 4 Multiply 5 * 2 10(-2 + x) + -8 = 2x + 4 (-2 * 10 + x * 10) + -8 = 2x + 4 (-20 + 10x) + -8 = 2x + 4 Reorder the terms: -20 + -8 + 10x = 2x + 4 Combine like terms: -20 + -8 = -28 -28 + 10x = 2x + 4 Reorder the terms: -28 + 10x = 4 + 2x Solving -28 + 10x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + 10x + -2x = 4 + 2x + -2x Combine like terms: 10x + -2x = 8x -28 + 8x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 8x = 4 + 0 -28 + 8x = 4 Add '28' to each side of the equation. -28 + 28 + 8x = 4 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 4 + 28 8x = 4 + 28 Combine like terms: 4 + 28 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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