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Simplifying 3(2x + -7) + 5 = 12x + -1(3x + -5) Reorder the terms: 3(-7 + 2x) + 5 = 12x + -1(3x + -5) (-7 * 3 + 2x * 3) + 5 = 12x + -1(3x + -5) (-21 + 6x) + 5 = 12x + -1(3x + -5) Reorder the terms: -21 + 5 + 6x = 12x + -1(3x + -5) Combine like terms: -21 + 5 = -16 -16 + 6x = 12x + -1(3x + -5) Reorder the terms: -16 + 6x = 12x + -1(-5 + 3x) -16 + 6x = 12x + (-5 * -1 + 3x * -1) -16 + 6x = 12x + (5 + -3x) Reorder the terms: -16 + 6x = 5 + 12x + -3x Combine like terms: 12x + -3x = 9x -16 + 6x = 5 + 9x Solving -16 + 6x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 6x + -9x = 5 + 9x + -9x Combine like terms: 6x + -9x = -3x -16 + -3x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -3x = 5 + 0 -16 + -3x = 5 Add '16' to each side of the equation. -16 + 16 + -3x = 5 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 5 + 16 -3x = 5 + 16 Combine like terms: 5 + 16 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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