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Simplifying 8x + 40 = 2(5x + 2) Reorder the terms: 40 + 8x = 2(5x + 2) Reorder the terms: 40 + 8x = 2(2 + 5x) 40 + 8x = (2 * 2 + 5x * 2) 40 + 8x = (4 + 10x) Solving 40 + 8x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 40 + 8x + -10x = 4 + 10x + -10x Combine like terms: 8x + -10x = -2x 40 + -2x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + -2x = 4 + 0 40 + -2x = 4 Add '-40' to each side of the equation. 40 + -40 + -2x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 4 + -40 -2x = 4 + -40 Combine like terms: 4 + -40 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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