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Simplifying -6x + 4 + -16 = 3(x + 12) + 5 Reorder the terms: 4 + -16 + -6x = 3(x + 12) + 5 Combine like terms: 4 + -16 = -12 -12 + -6x = 3(x + 12) + 5 Reorder the terms: -12 + -6x = 3(12 + x) + 5 -12 + -6x = (12 * 3 + x * 3) + 5 -12 + -6x = (36 + 3x) + 5 Reorder the terms: -12 + -6x = 36 + 5 + 3x Combine like terms: 36 + 5 = 41 -12 + -6x = 41 + 3x Solving -12 + -6x = 41 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -6x + -3x = 41 + 3x + -3x Combine like terms: -6x + -3x = -9x -12 + -9x = 41 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -9x = 41 + 0 -12 + -9x = 41 Add '12' to each side of the equation. -12 + 12 + -9x = 41 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 41 + 12 -9x = 41 + 12 Combine like terms: 41 + 12 = 53 -9x = 53 Divide each side by '-9'. x = -5.888888889 Simplifying x = -5.888888889
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