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Simplifying -3x + -1(12x + 5) + 21 = 9 + x + -1(13x + -4) Reorder the terms: -3x + -1(5 + 12x) + 21 = 9 + x + -1(13x + -4) -3x + (5 * -1 + 12x * -1) + 21 = 9 + x + -1(13x + -4) -3x + (-5 + -12x) + 21 = 9 + x + -1(13x + -4) Reorder the terms: -5 + 21 + -3x + -12x = 9 + x + -1(13x + -4) Combine like terms: -5 + 21 = 16 16 + -3x + -12x = 9 + x + -1(13x + -4) Combine like terms: -3x + -12x = -15x 16 + -15x = 9 + x + -1(13x + -4) Reorder the terms: 16 + -15x = 9 + x + -1(-4 + 13x) 16 + -15x = 9 + x + (-4 * -1 + 13x * -1) 16 + -15x = 9 + x + (4 + -13x) Reorder the terms: 16 + -15x = 9 + 4 + x + -13x Combine like terms: 9 + 4 = 13 16 + -15x = 13 + x + -13x Combine like terms: x + -13x = -12x 16 + -15x = 13 + -12x Solving 16 + -15x = 13 + -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. 16 + -15x + 12x = 13 + -12x + 12x Combine like terms: -15x + 12x = -3x 16 + -3x = 13 + -12x + 12x Combine like terms: -12x + 12x = 0 16 + -3x = 13 + 0 16 + -3x = 13 Add '-16' to each side of the equation. 16 + -16 + -3x = 13 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 13 + -16 -3x = 13 + -16 Combine like terms: 13 + -16 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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