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Simplifying 10(x + -4) = 4(x + 4) + 4x Reorder the terms: 10(-4 + x) = 4(x + 4) + 4x (-4 * 10 + x * 10) = 4(x + 4) + 4x (-40 + 10x) = 4(x + 4) + 4x Reorder the terms: -40 + 10x = 4(4 + x) + 4x -40 + 10x = (4 * 4 + x * 4) + 4x -40 + 10x = (16 + 4x) + 4x Combine like terms: 4x + 4x = 8x -40 + 10x = 16 + 8x Solving -40 + 10x = 16 + 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. -40 + 10x + -8x = 16 + 8x + -8x Combine like terms: 10x + -8x = 2x -40 + 2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 2x = 16 + 0 -40 + 2x = 16 Add '40' to each side of the equation. -40 + 40 + 2x = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 16 + 40 2x = 16 + 40 Combine like terms: 16 + 40 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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