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Simplifying 5x + -3(5x + -2) = 2x + 1 Reorder the terms: 5x + -3(-2 + 5x) = 2x + 1 5x + (-2 * -3 + 5x * -3) = 2x + 1 5x + (6 + -15x) = 2x + 1 Reorder the terms: 6 + 5x + -15x = 2x + 1 Combine like terms: 5x + -15x = -10x 6 + -10x = 2x + 1 Reorder the terms: 6 + -10x = 1 + 2x Solving 6 + -10x = 1 + 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. 6 + -10x + -2x = 1 + 2x + -2x Combine like terms: -10x + -2x = -12x 6 + -12x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -12x = 1 + 0 6 + -12x = 1 Add '-6' to each side of the equation. 6 + -6 + -12x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 1 + -6 -12x = 1 + -6 Combine like terms: 1 + -6 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667
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