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Simplifying 2(x + 5) = 4(4x + -1) Reorder the terms: 2(5 + x) = 4(4x + -1) (5 * 2 + x * 2) = 4(4x + -1) (10 + 2x) = 4(4x + -1) Reorder the terms: 10 + 2x = 4(-1 + 4x) 10 + 2x = (-1 * 4 + 4x * 4) 10 + 2x = (-4 + 16x) Solving 10 + 2x = -4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 10 + 2x + -16x = -4 + 16x + -16x Combine like terms: 2x + -16x = -14x 10 + -14x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + -14x = -4 + 0 10 + -14x = -4 Add '-10' to each side of the equation. 10 + -10 + -14x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -4 + -10 -14x = -4 + -10 Combine like terms: -4 + -10 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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