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Simplifying 6(4x + 3) + 1 = -8x + 6 Reorder the terms: 6(3 + 4x) + 1 = -8x + 6 (3 * 6 + 4x * 6) + 1 = -8x + 6 (18 + 24x) + 1 = -8x + 6 Reorder the terms: 18 + 1 + 24x = -8x + 6 Combine like terms: 18 + 1 = 19 19 + 24x = -8x + 6 Reorder the terms: 19 + 24x = 6 + -8x Solving 19 + 24x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 19 + 24x + 8x = 6 + -8x + 8x Combine like terms: 24x + 8x = 32x 19 + 32x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 19 + 32x = 6 + 0 19 + 32x = 6 Add '-19' to each side of the equation. 19 + -19 + 32x = 6 + -19 Combine like terms: 19 + -19 = 0 0 + 32x = 6 + -19 32x = 6 + -19 Combine like terms: 6 + -19 = -13 32x = -13 Divide each side by '32'. x = -0.40625 Simplifying x = -0.40625
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