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Simplifying 16x + -2(6) + 3x = 8(6) + -24x + 1 Multiply -2 * 6 16x + -12 + 3x = 8(6) + -24x + 1 Reorder the terms: -12 + 16x + 3x = 8(6) + -24x + 1 Combine like terms: 16x + 3x = 19x -12 + 19x = 8(6) + -24x + 1 Multiply 8 * 6 -12 + 19x = 48 + -24x + 1 Reorder the terms: -12 + 19x = 48 + 1 + -24x Combine like terms: 48 + 1 = 49 -12 + 19x = 49 + -24x Solving -12 + 19x = 49 + -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. -12 + 19x + 24x = 49 + -24x + 24x Combine like terms: 19x + 24x = 43x -12 + 43x = 49 + -24x + 24x Combine like terms: -24x + 24x = 0 -12 + 43x = 49 + 0 -12 + 43x = 49 Add '12' to each side of the equation. -12 + 12 + 43x = 49 + 12 Combine like terms: -12 + 12 = 0 0 + 43x = 49 + 12 43x = 49 + 12 Combine like terms: 49 + 12 = 61 43x = 61 Divide each side by '43'. x = 1.418604651 Simplifying x = 1.418604651
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