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Simplifying 6[x + 4(5 + -1x)] = 2x + 1 6[x + (5 * 4 + -1x * 4)] = 2x + 1 6[x + (20 + -4x)] = 2x + 1 Reorder the terms: 6[20 + x + -4x] = 2x + 1 Combine like terms: x + -4x = -3x 6[20 + -3x] = 2x + 1 [20 * 6 + -3x * 6] = 2x + 1 [120 + -18x] = 2x + 1 Reorder the terms: 120 + -18x = 1 + 2x Solving 120 + -18x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 120 + -18x + -2x = 1 + 2x + -2x Combine like terms: -18x + -2x = -20x 120 + -20x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 120 + -20x = 1 + 0 120 + -20x = 1 Add '-120' to each side of the equation. 120 + -120 + -20x = 1 + -120 Combine like terms: 120 + -120 = 0 0 + -20x = 1 + -120 -20x = 1 + -120 Combine like terms: 1 + -120 = -119 -20x = -119 Divide each side by '-20'. x = 5.95 Simplifying x = 5.95
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