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Simplifying 10(x + -4) = 6x + -12 Reorder the terms: 10(-4 + x) = 6x + -12 (-4 * 10 + x * 10) = 6x + -12 (-40 + 10x) = 6x + -12 Reorder the terms: -40 + 10x = -12 + 6x Solving -40 + 10x = -12 + 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. -40 + 10x + -6x = -12 + 6x + -6x Combine like terms: 10x + -6x = 4x -40 + 4x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 4x = -12 + 0 -40 + 4x = -12 Add '40' to each side of the equation. -40 + 40 + 4x = -12 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = -12 + 40 4x = -12 + 40 Combine like terms: -12 + 40 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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