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Simplifying 4(x + -4) = 9x + -61 Reorder the terms: 4(-4 + x) = 9x + -61 (-4 * 4 + x * 4) = 9x + -61 (-16 + 4x) = 9x + -61 Reorder the terms: -16 + 4x = -61 + 9x Solving -16 + 4x = -61 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 4x + -9x = -61 + 9x + -9x Combine like terms: 4x + -9x = -5x -16 + -5x = -61 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -5x = -61 + 0 -16 + -5x = -61 Add '16' to each side of the equation. -16 + 16 + -5x = -61 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = -61 + 16 -5x = -61 + 16 Combine like terms: -61 + 16 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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