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Simplifying 2(6 + -4x) + 1 = 2(x + 4) + -5x (6 * 2 + -4x * 2) + 1 = 2(x + 4) + -5x (12 + -8x) + 1 = 2(x + 4) + -5x Reorder the terms: 12 + 1 + -8x = 2(x + 4) + -5x Combine like terms: 12 + 1 = 13 13 + -8x = 2(x + 4) + -5x Reorder the terms: 13 + -8x = 2(4 + x) + -5x 13 + -8x = (4 * 2 + x * 2) + -5x 13 + -8x = (8 + 2x) + -5x Combine like terms: 2x + -5x = -3x 13 + -8x = 8 + -3x Solving 13 + -8x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + -8x + 3x = 8 + -3x + 3x Combine like terms: -8x + 3x = -5x 13 + -5x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + -5x = 8 + 0 13 + -5x = 8 Add '-13' to each side of the equation. 13 + -13 + -5x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 8 + -13 -5x = 8 + -13 Combine like terms: 8 + -13 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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