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Simplifying 4(x + -10) = 6(2 + -1x) + -6x Reorder the terms: 4(-10 + x) = 6(2 + -1x) + -6x (-10 * 4 + x * 4) = 6(2 + -1x) + -6x (-40 + 4x) = 6(2 + -1x) + -6x -40 + 4x = (2 * 6 + -1x * 6) + -6x -40 + 4x = (12 + -6x) + -6x Combine like terms: -6x + -6x = -12x -40 + 4x = 12 + -12x Solving -40 + 4x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -40 + 4x + 12x = 12 + -12x + 12x Combine like terms: 4x + 12x = 16x -40 + 16x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + 16x = 12 + 0 -40 + 16x = 12 Add '40' to each side of the equation. -40 + 40 + 16x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 16x = 12 + 40 16x = 12 + 40 Combine like terms: 12 + 40 = 52 16x = 52 Divide each side by '16'. x = 3.25 Simplifying x = 3.25
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