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Simplifying 5x + -2(4x + -1) = 12x + -1 Reorder the terms: 5x + -2(-1 + 4x) = 12x + -1 5x + (-1 * -2 + 4x * -2) = 12x + -1 5x + (2 + -8x) = 12x + -1 Reorder the terms: 2 + 5x + -8x = 12x + -1 Combine like terms: 5x + -8x = -3x 2 + -3x = 12x + -1 Reorder the terms: 2 + -3x = -1 + 12x Solving 2 + -3x = -1 + 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. 2 + -3x + -12x = -1 + 12x + -12x Combine like terms: -3x + -12x = -15x 2 + -15x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -15x = -1 + 0 2 + -15x = -1 Add '-2' to each side of the equation. 2 + -2 + -15x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -15x = -1 + -2 -15x = -1 + -2 Combine like terms: -1 + -2 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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