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Simplifying 8(x + -3) + -1(-6x + -1) = 13x Reorder the terms: 8(-3 + x) + -1(-6x + -1) = 13x (-3 * 8 + x * 8) + -1(-6x + -1) = 13x (-24 + 8x) + -1(-6x + -1) = 13x Reorder the terms: -24 + 8x + -1(-1 + -6x) = 13x -24 + 8x + (-1 * -1 + -6x * -1) = 13x -24 + 8x + (1 + 6x) = 13x Reorder the terms: -24 + 1 + 8x + 6x = 13x Combine like terms: -24 + 1 = -23 -23 + 8x + 6x = 13x Combine like terms: 8x + 6x = 14x -23 + 14x = 13x Solving -23 + 14x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -23 + 14x + -13x = 13x + -13x Combine like terms: 14x + -13x = 1x -23 + 1x = 13x + -13x Combine like terms: 13x + -13x = 0 -23 + 1x = 0 Add '23' to each side of the equation. -23 + 23 + 1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 0 + 23 1x = 0 + 23 Combine like terms: 0 + 23 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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