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Simplifying -5(x + 1) + 3(3x + -6) = 3(x + -4) + 13 Reorder the terms: -5(1 + x) + 3(3x + -6) = 3(x + -4) + 13 (1 * -5 + x * -5) + 3(3x + -6) = 3(x + -4) + 13 (-5 + -5x) + 3(3x + -6) = 3(x + -4) + 13 Reorder the terms: -5 + -5x + 3(-6 + 3x) = 3(x + -4) + 13 -5 + -5x + (-6 * 3 + 3x * 3) = 3(x + -4) + 13 -5 + -5x + (-18 + 9x) = 3(x + -4) + 13 Reorder the terms: -5 + -18 + -5x + 9x = 3(x + -4) + 13 Combine like terms: -5 + -18 = -23 -23 + -5x + 9x = 3(x + -4) + 13 Combine like terms: -5x + 9x = 4x -23 + 4x = 3(x + -4) + 13 Reorder the terms: -23 + 4x = 3(-4 + x) + 13 -23 + 4x = (-4 * 3 + x * 3) + 13 -23 + 4x = (-12 + 3x) + 13 Reorder the terms: -23 + 4x = -12 + 13 + 3x Combine like terms: -12 + 13 = 1 -23 + 4x = 1 + 3x Solving -23 + 4x = 1 + 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. -23 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x -23 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 1x = 1 + 0 -23 + 1x = 1 Add '23' to each side of the equation. -23 + 23 + 1x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 1 + 23 1x = 1 + 23 Combine like terms: 1 + 23 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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