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Simplifying 5 + -1(6x + 1) = 2[(5x + -3) + -1(x + -2)] Reorder the terms: 5 + -1(1 + 6x) = 2[(5x + -3) + -1(x + -2)] 5 + (1 * -1 + 6x * -1) = 2[(5x + -3) + -1(x + -2)] 5 + (-1 + -6x) = 2[(5x + -3) + -1(x + -2)] Combine like terms: 5 + -1 = 4 4 + -6x = 2[(5x + -3) + -1(x + -2)] Reorder the terms: 4 + -6x = 2[(-3 + 5x) + -1(x + -2)] Remove parenthesis around (-3 + 5x) 4 + -6x = 2[-3 + 5x + -1(x + -2)] Reorder the terms: 4 + -6x = 2[-3 + 5x + -1(-2 + x)] 4 + -6x = 2[-3 + 5x + (-2 * -1 + x * -1)] 4 + -6x = 2[-3 + 5x + (2 + -1x)] Reorder the terms: 4 + -6x = 2[-3 + 2 + 5x + -1x] Combine like terms: -3 + 2 = -1 4 + -6x = 2[-1 + 5x + -1x] Combine like terms: 5x + -1x = 4x 4 + -6x = 2[-1 + 4x] 4 + -6x = [-1 * 2 + 4x * 2] 4 + -6x = [-2 + 8x] Solving 4 + -6x = -2 + 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. 4 + -6x + -8x = -2 + 8x + -8x Combine like terms: -6x + -8x = -14x 4 + -14x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -14x = -2 + 0 4 + -14x = -2 Add '-4' to each side of the equation. 4 + -4 + -14x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -2 + -4 -14x = -2 + -4 Combine like terms: -2 + -4 = -6 -14x = -6 Divide each side by '-14'. x = 0.4285714286 Simplifying x = 0.4285714286
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