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Simplifying -3x + 47 = 3(4x + -2) + 8 Reorder the terms: 47 + -3x = 3(4x + -2) + 8 Reorder the terms: 47 + -3x = 3(-2 + 4x) + 8 47 + -3x = (-2 * 3 + 4x * 3) + 8 47 + -3x = (-6 + 12x) + 8 Reorder the terms: 47 + -3x = -6 + 8 + 12x Combine like terms: -6 + 8 = 2 47 + -3x = 2 + 12x Solving 47 + -3x = 2 + 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. 47 + -3x + -12x = 2 + 12x + -12x Combine like terms: -3x + -12x = -15x 47 + -15x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 47 + -15x = 2 + 0 47 + -15x = 2 Add '-47' to each side of the equation. 47 + -47 + -15x = 2 + -47 Combine like terms: 47 + -47 = 0 0 + -15x = 2 + -47 -15x = 2 + -47 Combine like terms: 2 + -47 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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