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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 = 0 40 + 4x = -12 + 0 40 + 4x = -12 Solving 40 + 4x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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