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Simplifying 3(2x + -6) + 6(x + -5) = -3(3 + -5x) + 5x + -21 Reorder the terms: 3(-6 + 2x) + 6(x + -5) = -3(3 + -5x) + 5x + -21 (-6 * 3 + 2x * 3) + 6(x + -5) = -3(3 + -5x) + 5x + -21 (-18 + 6x) + 6(x + -5) = -3(3 + -5x) + 5x + -21 Reorder the terms: -18 + 6x + 6(-5 + x) = -3(3 + -5x) + 5x + -21 -18 + 6x + (-5 * 6 + x * 6) = -3(3 + -5x) + 5x + -21 -18 + 6x + (-30 + 6x) = -3(3 + -5x) + 5x + -21 Reorder the terms: -18 + -30 + 6x + 6x = -3(3 + -5x) + 5x + -21 Combine like terms: -18 + -30 = -48 -48 + 6x + 6x = -3(3 + -5x) + 5x + -21 Combine like terms: 6x + 6x = 12x -48 + 12x = -3(3 + -5x) + 5x + -21 -48 + 12x = (3 * -3 + -5x * -3) + 5x + -21 -48 + 12x = (-9 + 15x) + 5x + -21 Reorder the terms: -48 + 12x = -9 + -21 + 15x + 5x Combine like terms: -9 + -21 = -30 -48 + 12x = -30 + 15x + 5x Combine like terms: 15x + 5x = 20x -48 + 12x = -30 + 20x Solving -48 + 12x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -48 + 12x + -20x = -30 + 20x + -20x Combine like terms: 12x + -20x = -8x -48 + -8x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 -48 + -8x = -30 + 0 -48 + -8x = -30 Add '48' to each side of the equation. -48 + 48 + -8x = -30 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = -30 + 48 -8x = -30 + 48 Combine like terms: -30 + 48 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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