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Simplifying 3(6x + -5) + -2(4x + 13) + 5 = 5(x + 4) + -26 Reorder the terms: 3(-5 + 6x) + -2(4x + 13) + 5 = 5(x + 4) + -26 (-5 * 3 + 6x * 3) + -2(4x + 13) + 5 = 5(x + 4) + -26 (-15 + 18x) + -2(4x + 13) + 5 = 5(x + 4) + -26 Reorder the terms: -15 + 18x + -2(13 + 4x) + 5 = 5(x + 4) + -26 -15 + 18x + (13 * -2 + 4x * -2) + 5 = 5(x + 4) + -26 -15 + 18x + (-26 + -8x) + 5 = 5(x + 4) + -26 Reorder the terms: -15 + -26 + 5 + 18x + -8x = 5(x + 4) + -26 Combine like terms: -15 + -26 = -41 -41 + 5 + 18x + -8x = 5(x + 4) + -26 Combine like terms: -41 + 5 = -36 -36 + 18x + -8x = 5(x + 4) + -26 Combine like terms: 18x + -8x = 10x -36 + 10x = 5(x + 4) + -26 Reorder the terms: -36 + 10x = 5(4 + x) + -26 -36 + 10x = (4 * 5 + x * 5) + -26 -36 + 10x = (20 + 5x) + -26 Reorder the terms: -36 + 10x = 20 + -26 + 5x Combine like terms: 20 + -26 = -6 -36 + 10x = -6 + 5x Solving -36 + 10x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 10x + -5x = -6 + 5x + -5x Combine like terms: 10x + -5x = 5x -36 + 5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 5x = -6 + 0 -36 + 5x = -6 Add '36' to each side of the equation. -36 + 36 + 5x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = -6 + 36 5x = -6 + 36 Combine like terms: -6 + 36 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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