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Simplifying 7(9 + 2x) = 5(1 + -3x) (9 * 7 + 2x * 7) = 5(1 + -3x) (63 + 14x) = 5(1 + -3x) 63 + 14x = (1 * 5 + -3x * 5) 63 + 14x = (5 + -15x) Solving 63 + 14x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 63 + 14x + 15x = 5 + -15x + 15x Combine like terms: 14x + 15x = 29x 63 + 29x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 63 + 29x = 5 + 0 63 + 29x = 5 Add '-63' to each side of the equation. 63 + -63 + 29x = 5 + -63 Combine like terms: 63 + -63 = 0 0 + 29x = 5 + -63 29x = 5 + -63 Combine like terms: 5 + -63 = -58 29x = -58 Divide each side by '29'. x = -2 Simplifying x = -2
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