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Simplifying -11(x + 3) + 5(3x + -7) = 3(x + -6) + 11 Reorder the terms: -11(3 + x) + 5(3x + -7) = 3(x + -6) + 11 (3 * -11 + x * -11) + 5(3x + -7) = 3(x + -6) + 11 (-33 + -11x) + 5(3x + -7) = 3(x + -6) + 11 Reorder the terms: -33 + -11x + 5(-7 + 3x) = 3(x + -6) + 11 -33 + -11x + (-7 * 5 + 3x * 5) = 3(x + -6) + 11 -33 + -11x + (-35 + 15x) = 3(x + -6) + 11 Reorder the terms: -33 + -35 + -11x + 15x = 3(x + -6) + 11 Combine like terms: -33 + -35 = -68 -68 + -11x + 15x = 3(x + -6) + 11 Combine like terms: -11x + 15x = 4x -68 + 4x = 3(x + -6) + 11 Reorder the terms: -68 + 4x = 3(-6 + x) + 11 -68 + 4x = (-6 * 3 + x * 3) + 11 -68 + 4x = (-18 + 3x) + 11 Reorder the terms: -68 + 4x = -18 + 11 + 3x Combine like terms: -18 + 11 = -7 -68 + 4x = -7 + 3x Solving -68 + 4x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -68 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -68 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -68 + 1x = -7 + 0 -68 + 1x = -7 Add '68' to each side of the equation. -68 + 68 + 1x = -7 + 68 Combine like terms: -68 + 68 = 0 0 + 1x = -7 + 68 1x = -7 + 68 Combine like terms: -7 + 68 = 61 1x = 61 Divide each side by '1'. x = 61 Simplifying x = 61
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