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Simplifying 10x + -5x + x + 3 = 3(1 + -4x) Reorder the terms: 3 + 10x + -5x + x = 3(1 + -4x) Combine like terms: 10x + -5x = 5x 3 + 5x + x = 3(1 + -4x) Combine like terms: 5x + x = 6x 3 + 6x = 3(1 + -4x) 3 + 6x = (1 * 3 + -4x * 3) 3 + 6x = (3 + -12x) Add '-3' to each side of the equation. 3 + -3 + 6x = 3 + -3 + -12x Combine like terms: 3 + -3 = 0 0 + 6x = 3 + -3 + -12x 6x = 3 + -3 + -12x Combine like terms: 3 + -3 = 0 6x = 0 + -12x 6x = -12x Solving 6x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6x + 12x = -12x + 12x Combine like terms: 6x + 12x = 18x 18x = -12x + 12x Combine like terms: -12x + 12x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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