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Simplifying 7(6x + -1) + -5(12x + -7) = 23 + -3(2x + 1) Reorder the terms: 7(-1 + 6x) + -5(12x + -7) = 23 + -3(2x + 1) (-1 * 7 + 6x * 7) + -5(12x + -7) = 23 + -3(2x + 1) (-7 + 42x) + -5(12x + -7) = 23 + -3(2x + 1) Reorder the terms: -7 + 42x + -5(-7 + 12x) = 23 + -3(2x + 1) -7 + 42x + (-7 * -5 + 12x * -5) = 23 + -3(2x + 1) -7 + 42x + (35 + -60x) = 23 + -3(2x + 1) Reorder the terms: -7 + 35 + 42x + -60x = 23 + -3(2x + 1) Combine like terms: -7 + 35 = 28 28 + 42x + -60x = 23 + -3(2x + 1) Combine like terms: 42x + -60x = -18x 28 + -18x = 23 + -3(2x + 1) Reorder the terms: 28 + -18x = 23 + -3(1 + 2x) 28 + -18x = 23 + (1 * -3 + 2x * -3) 28 + -18x = 23 + (-3 + -6x) Combine like terms: 23 + -3 = 20 28 + -18x = 20 + -6x Solving 28 + -18x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 28 + -18x + 6x = 20 + -6x + 6x Combine like terms: -18x + 6x = -12x 28 + -12x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 28 + -12x = 20 + 0 28 + -12x = 20 Add '-28' to each side of the equation. 28 + -28 + -12x = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -12x = 20 + -28 -12x = 20 + -28 Combine like terms: 20 + -28 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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