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Simplifying 4x + -10(1 + 2x) = -10(1 + 2x) + 6x 4x + (1 * -10 + 2x * -10) = -10(1 + 2x) + 6x 4x + (-10 + -20x) = -10(1 + 2x) + 6x Reorder the terms: -10 + 4x + -20x = -10(1 + 2x) + 6x Combine like terms: 4x + -20x = -16x -10 + -16x = -10(1 + 2x) + 6x -10 + -16x = (1 * -10 + 2x * -10) + 6x -10 + -16x = (-10 + -20x) + 6x Combine like terms: -20x + 6x = -14x -10 + -16x = -10 + -14x Add '10' to each side of the equation. -10 + 10 + -16x = -10 + 10 + -14x Combine like terms: -10 + 10 = 0 0 + -16x = -10 + 10 + -14x -16x = -10 + 10 + -14x Combine like terms: -10 + 10 = 0 -16x = 0 + -14x -16x = -14x Solving -16x = -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -16x + 14x = -14x + 14x Combine like terms: -16x + 14x = -2x -2x = -14x + 14x Combine like terms: -14x + 14x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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