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Simplifying 10 + 5(2x + -4) = 2x + 5 Reorder the terms: 10 + 5(-4 + 2x) = 2x + 5 10 + (-4 * 5 + 2x * 5) = 2x + 5 10 + (-20 + 10x) = 2x + 5 Combine like terms: 10 + -20 = -10 -10 + 10x = 2x + 5 Reorder the terms: -10 + 10x = 5 + 2x Solving -10 + 10x = 5 + 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. -10 + 10x + -2x = 5 + 2x + -2x Combine like terms: 10x + -2x = 8x -10 + 8x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 8x = 5 + 0 -10 + 8x = 5 Add '10' to each side of the equation. -10 + 10 + 8x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 5 + 10 8x = 5 + 10 Combine like terms: 5 + 10 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875
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