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Simplifying 3(4x + -3) + 3 = (3x + -1) + -2(x + -3) Reorder the terms: 3(-3 + 4x) + 3 = (3x + -1) + -2(x + -3) (-3 * 3 + 4x * 3) + 3 = (3x + -1) + -2(x + -3) (-9 + 12x) + 3 = (3x + -1) + -2(x + -3) Reorder the terms: -9 + 3 + 12x = (3x + -1) + -2(x + -3) Combine like terms: -9 + 3 = -6 -6 + 12x = (3x + -1) + -2(x + -3) Reorder the terms: -6 + 12x = (-1 + 3x) + -2(x + -3) Remove parenthesis around (-1 + 3x) -6 + 12x = -1 + 3x + -2(x + -3) Reorder the terms: -6 + 12x = -1 + 3x + -2(-3 + x) -6 + 12x = -1 + 3x + (-3 * -2 + x * -2) -6 + 12x = -1 + 3x + (6 + -2x) Reorder the terms: -6 + 12x = -1 + 6 + 3x + -2x Combine like terms: -1 + 6 = 5 -6 + 12x = 5 + 3x + -2x Combine like terms: 3x + -2x = 1x -6 + 12x = 5 + 1x Solving -6 + 12x = 5 + 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 = 5 + 1x + -1x Combine like terms: 12x + -1x = 11x -6 + 11x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 11x = 5 + 0 -6 + 11x = 5 Add '6' to each side of the equation. -6 + 6 + 11x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 5 + 6 11x = 5 + 6 Combine like terms: 5 + 6 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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