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Simplifying -11(x + 3) + 5(3x + -5) = 3(x + -6) + 8 Reorder the terms: -11(3 + x) + 5(3x + -5) = 3(x + -6) + 8 (3 * -11 + x * -11) + 5(3x + -5) = 3(x + -6) + 8 (-33 + -11x) + 5(3x + -5) = 3(x + -6) + 8 Reorder the terms: -33 + -11x + 5(-5 + 3x) = 3(x + -6) + 8 -33 + -11x + (-5 * 5 + 3x * 5) = 3(x + -6) + 8 -33 + -11x + (-25 + 15x) = 3(x + -6) + 8 Reorder the terms: -33 + -25 + -11x + 15x = 3(x + -6) + 8 Combine like terms: -33 + -25 = -58 -58 + -11x + 15x = 3(x + -6) + 8 Combine like terms: -11x + 15x = 4x -58 + 4x = 3(x + -6) + 8 Reorder the terms: -58 + 4x = 3(-6 + x) + 8 -58 + 4x = (-6 * 3 + x * 3) + 8 -58 + 4x = (-18 + 3x) + 8 Reorder the terms: -58 + 4x = -18 + 8 + 3x Combine like terms: -18 + 8 = -10 -58 + 4x = -10 + 3x Solving -58 + 4x = -10 + 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. -58 + 4x + -3x = -10 + 3x + -3x Combine like terms: 4x + -3x = 1x -58 + 1x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -58 + 1x = -10 + 0 -58 + 1x = -10 Add '58' to each side of the equation. -58 + 58 + 1x = -10 + 58 Combine like terms: -58 + 58 = 0 0 + 1x = -10 + 58 1x = -10 + 58 Combine like terms: -10 + 58 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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