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Simplifying 4(x + 10) = 2x + 6 Reorder the terms: 4(10 + x) = 2x + 6 (10 * 4 + x * 4) = 2x + 6 (40 + 4x) = 2x + 6 Reorder the terms: 40 + 4x = 6 + 2x Solving 40 + 4x = 6 + 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. 40 + 4x + -2x = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x 40 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 2x = 6 + 0 40 + 2x = 6 Add '-40' to each side of the equation. 40 + -40 + 2x = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 6 + -40 2x = 6 + -40 Combine like terms: 6 + -40 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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