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Simplifying -5x + 47 = 2(4x + -4) + 3 Reorder the terms: 47 + -5x = 2(4x + -4) + 3 Reorder the terms: 47 + -5x = 2(-4 + 4x) + 3 47 + -5x = (-4 * 2 + 4x * 2) + 3 47 + -5x = (-8 + 8x) + 3 Reorder the terms: 47 + -5x = -8 + 3 + 8x Combine like terms: -8 + 3 = -5 47 + -5x = -5 + 8x Solving 47 + -5x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 47 + -5x + -8x = -5 + 8x + -8x Combine like terms: -5x + -8x = -13x 47 + -13x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 47 + -13x = -5 + 0 47 + -13x = -5 Add '-47' to each side of the equation. 47 + -47 + -13x = -5 + -47 Combine like terms: 47 + -47 = 0 0 + -13x = -5 + -47 -13x = -5 + -47 Combine like terms: -5 + -47 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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