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Simplifying 13(x + -1) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: 13(-1 + x) + 8(x + -3) = 6x + 7 + -5x (-1 * 13 + x * 13) + 8(x + -3) = 6x + 7 + -5x (-13 + 13x) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: -13 + 13x + 8(-3 + x) = 6x + 7 + -5x -13 + 13x + (-3 * 8 + x * 8) = 6x + 7 + -5x -13 + 13x + (-24 + 8x) = 6x + 7 + -5x Reorder the terms: -13 + -24 + 13x + 8x = 6x + 7 + -5x Combine like terms: -13 + -24 = -37 -37 + 13x + 8x = 6x + 7 + -5x Combine like terms: 13x + 8x = 21x -37 + 21x = 6x + 7 + -5x Reorder the terms: -37 + 21x = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x -37 + 21x = 7 + 1x Solving -37 + 21x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -37 + 21x + -1x = 7 + 1x + -1x Combine like terms: 21x + -1x = 20x -37 + 20x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -37 + 20x = 7 + 0 -37 + 20x = 7 Add '37' to each side of the equation. -37 + 37 + 20x = 7 + 37 Combine like terms: -37 + 37 = 0 0 + 20x = 7 + 37 20x = 7 + 37 Combine like terms: 7 + 37 = 44 20x = 44 Divide each side by '20'. x = 2.2 Simplifying x = 2.2
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