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Simplifying 3x + -1(-9x + 6) + 1x = 4(3x + 5) + -15 Reorder the terms: 3x + -1(6 + -9x) + 1x = 4(3x + 5) + -15 3x + (6 * -1 + -9x * -1) + 1x = 4(3x + 5) + -15 3x + (-6 + 9x) + 1x = 4(3x + 5) + -15 Reorder the terms: -6 + 3x + 9x + 1x = 4(3x + 5) + -15 Combine like terms: 3x + 9x = 12x -6 + 12x + 1x = 4(3x + 5) + -15 Combine like terms: 12x + 1x = 13x -6 + 13x = 4(3x + 5) + -15 Reorder the terms: -6 + 13x = 4(5 + 3x) + -15 -6 + 13x = (5 * 4 + 3x * 4) + -15 -6 + 13x = (20 + 12x) + -15 Reorder the terms: -6 + 13x = 20 + -15 + 12x Combine like terms: 20 + -15 = 5 -6 + 13x = 5 + 12x Solving -6 + 13x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 13x + -12x = 5 + 12x + -12x Combine like terms: 13x + -12x = 1x -6 + 1x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 1x = 5 + 0 -6 + 1x = 5 Add '6' to each side of the equation. -6 + 6 + 1x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 5 + 6 1x = 5 + 6 Combine like terms: 5 + 6 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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