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Simplifying 7(x + -3) + -1(6x + -7) = 4 Reorder the terms: 7(-3 + x) + -1(6x + -7) = 4 (-3 * 7 + x * 7) + -1(6x + -7) = 4 (-21 + 7x) + -1(6x + -7) = 4 Reorder the terms: -21 + 7x + -1(-7 + 6x) = 4 -21 + 7x + (-7 * -1 + 6x * -1) = 4 -21 + 7x + (7 + -6x) = 4 Reorder the terms: -21 + 7 + 7x + -6x = 4 Combine like terms: -21 + 7 = -14 -14 + 7x + -6x = 4 Combine like terms: 7x + -6x = 1x -14 + 1x = 4 Solving -14 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 4 + 14 1x = 4 + 14 Combine like terms: 4 + 14 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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