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Simplifying -5(x + 1) + 3(3x + -4) = 3(x + -6) + 11 Reorder the terms: -5(1 + x) + 3(3x + -4) = 3(x + -6) + 11 (1 * -5 + x * -5) + 3(3x + -4) = 3(x + -6) + 11 (-5 + -5x) + 3(3x + -4) = 3(x + -6) + 11 Reorder the terms: -5 + -5x + 3(-4 + 3x) = 3(x + -6) + 11 -5 + -5x + (-4 * 3 + 3x * 3) = 3(x + -6) + 11 -5 + -5x + (-12 + 9x) = 3(x + -6) + 11 Reorder the terms: -5 + -12 + -5x + 9x = 3(x + -6) + 11 Combine like terms: -5 + -12 = -17 -17 + -5x + 9x = 3(x + -6) + 11 Combine like terms: -5x + 9x = 4x -17 + 4x = 3(x + -6) + 11 Reorder the terms: -17 + 4x = 3(-6 + x) + 11 -17 + 4x = (-6 * 3 + x * 3) + 11 -17 + 4x = (-18 + 3x) + 11 Reorder the terms: -17 + 4x = -18 + 11 + 3x Combine like terms: -18 + 11 = -7 -17 + 4x = -7 + 3x Solving -17 + 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. -17 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -17 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 1x = -7 + 0 -17 + 1x = -7 Add '17' to each side of the equation. -17 + 17 + 1x = -7 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -7 + 17 1x = -7 + 17 Combine like terms: -7 + 17 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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