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Simplifying -5(x + 3) + 3(3x + -5) = 3(x + -4) + 9 Reorder the terms: -5(3 + x) + 3(3x + -5) = 3(x + -4) + 9 (3 * -5 + x * -5) + 3(3x + -5) = 3(x + -4) + 9 (-15 + -5x) + 3(3x + -5) = 3(x + -4) + 9 Reorder the terms: -15 + -5x + 3(-5 + 3x) = 3(x + -4) + 9 -15 + -5x + (-5 * 3 + 3x * 3) = 3(x + -4) + 9 -15 + -5x + (-15 + 9x) = 3(x + -4) + 9 Reorder the terms: -15 + -15 + -5x + 9x = 3(x + -4) + 9 Combine like terms: -15 + -15 = -30 -30 + -5x + 9x = 3(x + -4) + 9 Combine like terms: -5x + 9x = 4x -30 + 4x = 3(x + -4) + 9 Reorder the terms: -30 + 4x = 3(-4 + x) + 9 -30 + 4x = (-4 * 3 + x * 3) + 9 -30 + 4x = (-12 + 3x) + 9 Reorder the terms: -30 + 4x = -12 + 9 + 3x Combine like terms: -12 + 9 = -3 -30 + 4x = -3 + 3x Solving -30 + 4x = -3 + 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. -30 + 4x + -3x = -3 + 3x + -3x Combine like terms: 4x + -3x = 1x -30 + 1x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 1x = -3 + 0 -30 + 1x = -3 Add '30' to each side of the equation. -30 + 30 + 1x = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -3 + 30 1x = -3 + 30 Combine like terms: -3 + 30 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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