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Simplifying 13(x + -6) + 6 = 4x + -9 Reorder the terms: 13(-6 + x) + 6 = 4x + -9 (-6 * 13 + x * 13) + 6 = 4x + -9 (-78 + 13x) + 6 = 4x + -9 Reorder the terms: -78 + 6 + 13x = 4x + -9 Combine like terms: -78 + 6 = -72 -72 + 13x = 4x + -9 Reorder the terms: -72 + 13x = -9 + 4x Solving -72 + 13x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -72 + 13x + -4x = -9 + 4x + -4x Combine like terms: 13x + -4x = 9x -72 + 9x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -72 + 9x = -9 + 0 -72 + 9x = -9 Add '72' to each side of the equation. -72 + 72 + 9x = -9 + 72 Combine like terms: -72 + 72 = 0 0 + 9x = -9 + 72 9x = -9 + 72 Combine like terms: -9 + 72 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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