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Simplifying 4(3x + -9) + -5 = 4(x + -4) + 31 Reorder the terms: 4(-9 + 3x) + -5 = 4(x + -4) + 31 (-9 * 4 + 3x * 4) + -5 = 4(x + -4) + 31 (-36 + 12x) + -5 = 4(x + -4) + 31 Reorder the terms: -36 + -5 + 12x = 4(x + -4) + 31 Combine like terms: -36 + -5 = -41 -41 + 12x = 4(x + -4) + 31 Reorder the terms: -41 + 12x = 4(-4 + x) + 31 -41 + 12x = (-4 * 4 + x * 4) + 31 -41 + 12x = (-16 + 4x) + 31 Reorder the terms: -41 + 12x = -16 + 31 + 4x Combine like terms: -16 + 31 = 15 -41 + 12x = 15 + 4x Solving -41 + 12x = 15 + 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. -41 + 12x + -4x = 15 + 4x + -4x Combine like terms: 12x + -4x = 8x -41 + 8x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + 8x = 15 + 0 -41 + 8x = 15 Add '41' to each side of the equation. -41 + 41 + 8x = 15 + 41 Combine like terms: -41 + 41 = 0 0 + 8x = 15 + 41 8x = 15 + 41 Combine like terms: 15 + 41 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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