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Simplifying 9(8x + 1) + 1 = 186 + 8(3x + 2) Reorder the terms: 9(1 + 8x) + 1 = 186 + 8(3x + 2) (1 * 9 + 8x * 9) + 1 = 186 + 8(3x + 2) (9 + 72x) + 1 = 186 + 8(3x + 2) Reorder the terms: 9 + 1 + 72x = 186 + 8(3x + 2) Combine like terms: 9 + 1 = 10 10 + 72x = 186 + 8(3x + 2) Reorder the terms: 10 + 72x = 186 + 8(2 + 3x) 10 + 72x = 186 + (2 * 8 + 3x * 8) 10 + 72x = 186 + (16 + 24x) Combine like terms: 186 + 16 = 202 10 + 72x = 202 + 24x Solving 10 + 72x = 202 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + 72x + -24x = 202 + 24x + -24x Combine like terms: 72x + -24x = 48x 10 + 48x = 202 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + 48x = 202 + 0 10 + 48x = 202 Add '-10' to each side of the equation. 10 + -10 + 48x = 202 + -10 Combine like terms: 10 + -10 = 0 0 + 48x = 202 + -10 48x = 202 + -10 Combine like terms: 202 + -10 = 192 48x = 192 Divide each side by '48'. x = 4 Simplifying x = 4
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