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Simplifying 4(3x + -5) + -3 = 4(x + -4) + 57 Reorder the terms: 4(-5 + 3x) + -3 = 4(x + -4) + 57 (-5 * 4 + 3x * 4) + -3 = 4(x + -4) + 57 (-20 + 12x) + -3 = 4(x + -4) + 57 Reorder the terms: -20 + -3 + 12x = 4(x + -4) + 57 Combine like terms: -20 + -3 = -23 -23 + 12x = 4(x + -4) + 57 Reorder the terms: -23 + 12x = 4(-4 + x) + 57 -23 + 12x = (-4 * 4 + x * 4) + 57 -23 + 12x = (-16 + 4x) + 57 Reorder the terms: -23 + 12x = -16 + 57 + 4x Combine like terms: -16 + 57 = 41 -23 + 12x = 41 + 4x Solving -23 + 12x = 41 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -23 + 12x + -4x = 41 + 4x + -4x Combine like terms: 12x + -4x = 8x -23 + 8x = 41 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 8x = 41 + 0 -23 + 8x = 41 Add '23' to each side of the equation. -23 + 23 + 8x = 41 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 41 + 23 8x = 41 + 23 Combine like terms: 41 + 23 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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