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Simplifying 4(x + -10) = -6(2 + -1x) + -5x Reorder the terms: 4(-10 + x) = -6(2 + -1x) + -5x (-10 * 4 + x * 4) = -6(2 + -1x) + -5x (-40 + 4x) = -6(2 + -1x) + -5x -40 + 4x = (2 * -6 + -1x * -6) + -5x -40 + 4x = (-12 + 6x) + -5x Combine like terms: 6x + -5x = 1x -40 + 4x = -12 + 1x Solving -40 + 4x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -40 + 4x + -1x = -12 + 1x + -1x Combine like terms: 4x + -1x = 3x -40 + 3x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 -40 + 3x = -12 + 0 -40 + 3x = -12 Add '40' to each side of the equation. -40 + 40 + 3x = -12 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = -12 + 40 3x = -12 + 40 Combine like terms: -12 + 40 = 28 3x = 28 Divide each side by '3'. x = 9.333333333 Simplifying x = 9.333333333
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