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Simplifying 4(-6x + -1) + 6x = -7x + 40 Reorder the terms: 4(-1 + -6x) + 6x = -7x + 40 (-1 * 4 + -6x * 4) + 6x = -7x + 40 (-4 + -24x) + 6x = -7x + 40 Combine like terms: -24x + 6x = -18x -4 + -18x = -7x + 40 Reorder the terms: -4 + -18x = 40 + -7x Solving -4 + -18x = 40 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -4 + -18x + 7x = 40 + -7x + 7x Combine like terms: -18x + 7x = -11x -4 + -11x = 40 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + -11x = 40 + 0 -4 + -11x = 40 Add '4' to each side of the equation. -4 + 4 + -11x = 40 + 4 Combine like terms: -4 + 4 = 0 0 + -11x = 40 + 4 -11x = 40 + 4 Combine like terms: 40 + 4 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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