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Simplifying 10(x + -4) = 4(x + 2) Reorder the terms: 10(-4 + x) = 4(x + 2) (-4 * 10 + x * 10) = 4(x + 2) (-40 + 10x) = 4(x + 2) Reorder the terms: -40 + 10x = 4(2 + x) -40 + 10x = (2 * 4 + x * 4) -40 + 10x = (8 + 4x) Solving -40 + 10x = 8 + 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. -40 + 10x + -4x = 8 + 4x + -4x Combine like terms: 10x + -4x = 6x -40 + 6x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 6x = 8 + 0 -40 + 6x = 8 Add '40' to each side of the equation. -40 + 40 + 6x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 8 + 40 6x = 8 + 40 Combine like terms: 8 + 40 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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