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Simplifying 5(6 + 2x) + 5x = -9 + 6(1 + 8x) (6 * 5 + 2x * 5) + 5x = -9 + 6(1 + 8x) (30 + 10x) + 5x = -9 + 6(1 + 8x) Combine like terms: 10x + 5x = 15x 30 + 15x = -9 + 6(1 + 8x) 30 + 15x = -9 + (1 * 6 + 8x * 6) 30 + 15x = -9 + (6 + 48x) Combine like terms: -9 + 6 = -3 30 + 15x = -3 + 48x Solving 30 + 15x = -3 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 30 + 15x + -48x = -3 + 48x + -48x Combine like terms: 15x + -48x = -33x 30 + -33x = -3 + 48x + -48x Combine like terms: 48x + -48x = 0 30 + -33x = -3 + 0 30 + -33x = -3 Add '-30' to each side of the equation. 30 + -30 + -33x = -3 + -30 Combine like terms: 30 + -30 = 0 0 + -33x = -3 + -30 -33x = -3 + -30 Combine like terms: -3 + -30 = -33 -33x = -33 Divide each side by '-33'. x = 1 Simplifying x = 1
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