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Simplifying -11(x + 2) + 6(3x + -7) = 6(x + -4) + 13 Reorder the terms: -11(2 + x) + 6(3x + -7) = 6(x + -4) + 13 (2 * -11 + x * -11) + 6(3x + -7) = 6(x + -4) + 13 (-22 + -11x) + 6(3x + -7) = 6(x + -4) + 13 Reorder the terms: -22 + -11x + 6(-7 + 3x) = 6(x + -4) + 13 -22 + -11x + (-7 * 6 + 3x * 6) = 6(x + -4) + 13 -22 + -11x + (-42 + 18x) = 6(x + -4) + 13 Reorder the terms: -22 + -42 + -11x + 18x = 6(x + -4) + 13 Combine like terms: -22 + -42 = -64 -64 + -11x + 18x = 6(x + -4) + 13 Combine like terms: -11x + 18x = 7x -64 + 7x = 6(x + -4) + 13 Reorder the terms: -64 + 7x = 6(-4 + x) + 13 -64 + 7x = (-4 * 6 + x * 6) + 13 -64 + 7x = (-24 + 6x) + 13 Reorder the terms: -64 + 7x = -24 + 13 + 6x Combine like terms: -24 + 13 = -11 -64 + 7x = -11 + 6x Solving -64 + 7x = -11 + 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. -64 + 7x + -6x = -11 + 6x + -6x Combine like terms: 7x + -6x = 1x -64 + 1x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -64 + 1x = -11 + 0 -64 + 1x = -11 Add '64' to each side of the equation. -64 + 64 + 1x = -11 + 64 Combine like terms: -64 + 64 = 0 0 + 1x = -11 + 64 1x = -11 + 64 Combine like terms: -11 + 64 = 53 1x = 53 Divide each side by '1'. x = 53 Simplifying x = 53
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