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Simplifying (6x + -3) + -1(4x + 1) = 3(2x + -3) Reorder the terms: (-3 + 6x) + -1(4x + 1) = 3(2x + -3) Remove parenthesis around (-3 + 6x) -3 + 6x + -1(4x + 1) = 3(2x + -3) Reorder the terms: -3 + 6x + -1(1 + 4x) = 3(2x + -3) -3 + 6x + (1 * -1 + 4x * -1) = 3(2x + -3) -3 + 6x + (-1 + -4x) = 3(2x + -3) Reorder the terms: -3 + -1 + 6x + -4x = 3(2x + -3) Combine like terms: -3 + -1 = -4 -4 + 6x + -4x = 3(2x + -3) Combine like terms: 6x + -4x = 2x -4 + 2x = 3(2x + -3) Reorder the terms: -4 + 2x = 3(-3 + 2x) -4 + 2x = (-3 * 3 + 2x * 3) -4 + 2x = (-9 + 6x) Solving -4 + 2x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = -9 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = -9 + 0 -4 + -4x = -9 Add '4' to each side of the equation. -4 + 4 + -4x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -9 + 4 -4x = -9 + 4 Combine like terms: -9 + 4 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25
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