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Simplifying 2(4x + -1) + 5(x + -2) = 6(2x + 1) Reorder the terms: 2(-1 + 4x) + 5(x + -2) = 6(2x + 1) (-1 * 2 + 4x * 2) + 5(x + -2) = 6(2x + 1) (-2 + 8x) + 5(x + -2) = 6(2x + 1) Reorder the terms: -2 + 8x + 5(-2 + x) = 6(2x + 1) -2 + 8x + (-2 * 5 + x * 5) = 6(2x + 1) -2 + 8x + (-10 + 5x) = 6(2x + 1) Reorder the terms: -2 + -10 + 8x + 5x = 6(2x + 1) Combine like terms: -2 + -10 = -12 -12 + 8x + 5x = 6(2x + 1) Combine like terms: 8x + 5x = 13x -12 + 13x = 6(2x + 1) Reorder the terms: -12 + 13x = 6(1 + 2x) -12 + 13x = (1 * 6 + 2x * 6) -12 + 13x = (6 + 12x) Solving -12 + 13x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 13x + -12x = 6 + 12x + -12x Combine like terms: 13x + -12x = 1x -12 + 1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 1x = 6 + 0 -12 + 1x = 6 Add '12' to each side of the equation. -12 + 12 + 1x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 6 + 12 1x = 6 + 12 Combine like terms: 6 + 12 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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