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Simplifying 3(6x + 1) = 2(16x + -2) Reorder the terms: 3(1 + 6x) = 2(16x + -2) (1 * 3 + 6x * 3) = 2(16x + -2) (3 + 18x) = 2(16x + -2) Reorder the terms: 3 + 18x = 2(-2 + 16x) 3 + 18x = (-2 * 2 + 16x * 2) 3 + 18x = (-4 + 32x) Solving 3 + 18x = -4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 3 + 18x + -32x = -4 + 32x + -32x Combine like terms: 18x + -32x = -14x 3 + -14x = -4 + 32x + -32x Combine like terms: 32x + -32x = 0 3 + -14x = -4 + 0 3 + -14x = -4 Add '-3' to each side of the equation. 3 + -3 + -14x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = -4 + -3 -14x = -4 + -3 Combine like terms: -4 + -3 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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