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Simplifying 5(2x + -2) + 3 = 2x + 9 Reorder the terms: 5(-2 + 2x) + 3 = 2x + 9 (-2 * 5 + 2x * 5) + 3 = 2x + 9 (-10 + 10x) + 3 = 2x + 9 Reorder the terms: -10 + 3 + 10x = 2x + 9 Combine like terms: -10 + 3 = -7 -7 + 10x = 2x + 9 Reorder the terms: -7 + 10x = 9 + 2x Solving -7 + 10x = 9 + 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. -7 + 10x + -2x = 9 + 2x + -2x Combine like terms: 10x + -2x = 8x -7 + 8x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 8x = 9 + 0 -7 + 8x = 9 Add '7' to each side of the equation. -7 + 7 + 8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 9 + 7 8x = 9 + 7 Combine like terms: 9 + 7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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