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Simplifying 14(5x + -3) + -9 = 61x + 42 Reorder the terms: 14(-3 + 5x) + -9 = 61x + 42 (-3 * 14 + 5x * 14) + -9 = 61x + 42 (-42 + 70x) + -9 = 61x + 42 Reorder the terms: -42 + -9 + 70x = 61x + 42 Combine like terms: -42 + -9 = -51 -51 + 70x = 61x + 42 Reorder the terms: -51 + 70x = 42 + 61x Solving -51 + 70x = 42 + 61x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61x' to each side of the equation. -51 + 70x + -61x = 42 + 61x + -61x Combine like terms: 70x + -61x = 9x -51 + 9x = 42 + 61x + -61x Combine like terms: 61x + -61x = 0 -51 + 9x = 42 + 0 -51 + 9x = 42 Add '51' to each side of the equation. -51 + 51 + 9x = 42 + 51 Combine like terms: -51 + 51 = 0 0 + 9x = 42 + 51 9x = 42 + 51 Combine like terms: 42 + 51 = 93 9x = 93 Divide each side by '9'. x = 10.33333333 Simplifying x = 10.33333333
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