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Simplifying 5(x + -4) + 2 = 8(6 + -1x) Reorder the terms: 5(-4 + x) + 2 = 8(6 + -1x) (-4 * 5 + x * 5) + 2 = 8(6 + -1x) (-20 + 5x) + 2 = 8(6 + -1x) Reorder the terms: -20 + 2 + 5x = 8(6 + -1x) Combine like terms: -20 + 2 = -18 -18 + 5x = 8(6 + -1x) -18 + 5x = (6 * 8 + -1x * 8) -18 + 5x = (48 + -8x) Solving -18 + 5x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -18 + 5x + 8x = 48 + -8x + 8x Combine like terms: 5x + 8x = 13x -18 + 13x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 13x = 48 + 0 -18 + 13x = 48 Add '18' to each side of the equation. -18 + 18 + 13x = 48 + 18 Combine like terms: -18 + 18 = 0 0 + 13x = 48 + 18 13x = 48 + 18 Combine like terms: 48 + 18 = 66 13x = 66 Divide each side by '13'. x = 5.076923077 Simplifying x = 5.076923077
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