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Simplifying 4(x + -10) = -6(2 + -1x) + 6 Reorder the terms: 4(-10 + x) = -6(2 + -1x) + 6 (-10 * 4 + x * 4) = -6(2 + -1x) + 6 (-40 + 4x) = -6(2 + -1x) + 6 -40 + 4x = (2 * -6 + -1x * -6) + 6 -40 + 4x = (-12 + 6x) + 6 Reorder the terms: -40 + 4x = -12 + 6 + 6x Combine like terms: -12 + 6 = -6 -40 + 4x = -6 + 6x Solving -40 + 4x = -6 + 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 + 4x + -6x = -6 + 6x + -6x Combine like terms: 4x + -6x = -2x -40 + -2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + -2x = -6 + 0 -40 + -2x = -6 Add '40' to each side of the equation. -40 + 40 + -2x = -6 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = -6 + 40 -2x = -6 + 40 Combine like terms: -6 + 40 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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