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Simplifying 9(x + -3) + -13 = 5x + 12 Reorder the terms: 9(-3 + x) + -13 = 5x + 12 (-3 * 9 + x * 9) + -13 = 5x + 12 (-27 + 9x) + -13 = 5x + 12 Reorder the terms: -27 + -13 + 9x = 5x + 12 Combine like terms: -27 + -13 = -40 -40 + 9x = 5x + 12 Reorder the terms: -40 + 9x = 12 + 5x Solving -40 + 9x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + 9x + -5x = 12 + 5x + -5x Combine like terms: 9x + -5x = 4x -40 + 4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 4x = 12 + 0 -40 + 4x = 12 Add '40' to each side of the equation. -40 + 40 + 4x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 12 + 40 4x = 12 + 40 Combine like terms: 12 + 40 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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