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Simplifying 5x + 9 = 6(3x + -1) + 7 Reorder the terms: 9 + 5x = 6(3x + -1) + 7 Reorder the terms: 9 + 5x = 6(-1 + 3x) + 7 9 + 5x = (-1 * 6 + 3x * 6) + 7 9 + 5x = (-6 + 18x) + 7 Reorder the terms: 9 + 5x = -6 + 7 + 18x Combine like terms: -6 + 7 = 1 9 + 5x = 1 + 18x Solving 9 + 5x = 1 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 9 + 5x + -18x = 1 + 18x + -18x Combine like terms: 5x + -18x = -13x 9 + -13x = 1 + 18x + -18x Combine like terms: 18x + -18x = 0 9 + -13x = 1 + 0 9 + -13x = 1 Add '-9' to each side of the equation. 9 + -9 + -13x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = 1 + -9 -13x = 1 + -9 Combine like terms: 1 + -9 = -8 -13x = -8 Divide each side by '-13'. x = 0.6153846154 Simplifying x = 0.6153846154
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