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Simplifying 6(2x + 1) = 4x + -3(x + -4) Reorder the terms: 6(1 + 2x) = 4x + -3(x + -4) (1 * 6 + 2x * 6) = 4x + -3(x + -4) (6 + 12x) = 4x + -3(x + -4) Reorder the terms: 6 + 12x = 4x + -3(-4 + x) 6 + 12x = 4x + (-4 * -3 + x * -3) 6 + 12x = 4x + (12 + -3x) Reorder the terms: 6 + 12x = 12 + 4x + -3x Combine like terms: 4x + -3x = 1x 6 + 12x = 12 + 1x Solving 6 + 12x = 12 + 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. 6 + 12x + -1x = 12 + 1x + -1x Combine like terms: 12x + -1x = 11x 6 + 11x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 11x = 12 + 0 6 + 11x = 12 Add '-6' to each side of the equation. 6 + -6 + 11x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 12 + -6 11x = 12 + -6 Combine like terms: 12 + -6 = 6 11x = 6 Divide each side by '11'. x = 0.5454545455 Simplifying x = 0.5454545455
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