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Simplifying 4(x + -4) = 54 + -6x Reorder the terms: 4(-4 + x) = 54 + -6x (-4 * 4 + x * 4) = 54 + -6x (-16 + 4x) = 54 + -6x Solving -16 + 4x = 54 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -16 + 4x + 6x = 54 + -6x + 6x Combine like terms: 4x + 6x = 10x -16 + 10x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 10x = 54 + 0 -16 + 10x = 54 Add '16' to each side of the equation. -16 + 16 + 10x = 54 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 54 + 16 10x = 54 + 16 Combine like terms: 54 + 16 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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