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Simplifying 5 + -2(6x + 1) = 5x + -2(2x + 5) Reorder the terms: 5 + -2(1 + 6x) = 5x + -2(2x + 5) 5 + (1 * -2 + 6x * -2) = 5x + -2(2x + 5) 5 + (-2 + -12x) = 5x + -2(2x + 5) Combine like terms: 5 + -2 = 3 3 + -12x = 5x + -2(2x + 5) Reorder the terms: 3 + -12x = 5x + -2(5 + 2x) 3 + -12x = 5x + (5 * -2 + 2x * -2) 3 + -12x = 5x + (-10 + -4x) Reorder the terms: 3 + -12x = -10 + 5x + -4x Combine like terms: 5x + -4x = 1x 3 + -12x = -10 + 1x Solving 3 + -12x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -12x + -1x = -10 + 1x + -1x Combine like terms: -12x + -1x = -13x 3 + -13x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + -13x = -10 + 0 3 + -13x = -10 Add '-3' to each side of the equation. 3 + -3 + -13x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = -10 + -3 -13x = -10 + -3 Combine like terms: -10 + -3 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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