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Simplifying 5(3x + -6) + -1(3x + -2) = x + -6 Reorder the terms: 5(-6 + 3x) + -1(3x + -2) = x + -6 (-6 * 5 + 3x * 5) + -1(3x + -2) = x + -6 (-30 + 15x) + -1(3x + -2) = x + -6 Reorder the terms: -30 + 15x + -1(-2 + 3x) = x + -6 -30 + 15x + (-2 * -1 + 3x * -1) = x + -6 -30 + 15x + (2 + -3x) = x + -6 Reorder the terms: -30 + 2 + 15x + -3x = x + -6 Combine like terms: -30 + 2 = -28 -28 + 15x + -3x = x + -6 Combine like terms: 15x + -3x = 12x -28 + 12x = x + -6 Reorder the terms: -28 + 12x = -6 + x Solving -28 + 12x = -6 + x 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. -28 + 12x + -1x = -6 + x + -1x Combine like terms: 12x + -1x = 11x -28 + 11x = -6 + x + -1x Combine like terms: x + -1x = 0 -28 + 11x = -6 + 0 -28 + 11x = -6 Add '28' to each side of the equation. -28 + 28 + 11x = -6 + 28 Combine like terms: -28 + 28 = 0 0 + 11x = -6 + 28 11x = -6 + 28 Combine like terms: -6 + 28 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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