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Simplifying 6x(x + -3) = 2(3x + -1)(x + -4) Reorder the terms: 6x(-3 + x) = 2(3x + -1)(x + -4) (-3 * 6x + x * 6x) = 2(3x + -1)(x + -4) (-18x + 6x2) = 2(3x + -1)(x + -4) Reorder the terms: -18x + 6x2 = 2(-1 + 3x)(x + -4) Reorder the terms: -18x + 6x2 = 2(-1 + 3x)(-4 + x) Multiply (-1 + 3x) * (-4 + x) -18x + 6x2 = 2(-1(-4 + x) + 3x * (-4 + x)) -18x + 6x2 = 2((-4 * -1 + x * -1) + 3x * (-4 + x)) -18x + 6x2 = 2((4 + -1x) + 3x * (-4 + x)) -18x + 6x2 = 2(4 + -1x + (-4 * 3x + x * 3x)) -18x + 6x2 = 2(4 + -1x + (-12x + 3x2)) Combine like terms: -1x + -12x = -13x -18x + 6x2 = 2(4 + -13x + 3x2) -18x + 6x2 = (4 * 2 + -13x * 2 + 3x2 * 2) -18x + 6x2 = (8 + -26x + 6x2) Add '-6x2' to each side of the equation. -18x + 6x2 + -6x2 = 8 + -26x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18x + 0 = 8 + -26x + 6x2 + -6x2 -18x = 8 + -26x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18x = 8 + -26x + 0 -18x = 8 + -26x Solving -18x = 8 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -18x + 26x = 8 + -26x + 26x Combine like terms: -18x + 26x = 8x 8x = 8 + -26x + 26x Combine like terms: -26x + 26x = 0 8x = 8 + 0 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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