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Simplifying 8(x + -2) = -6(x + 4) + 43 Reorder the terms: 8(-2 + x) = -6(x + 4) + 43 (-2 * 8 + x * 8) = -6(x + 4) + 43 (-16 + 8x) = -6(x + 4) + 43 Reorder the terms: -16 + 8x = -6(4 + x) + 43 -16 + 8x = (4 * -6 + x * -6) + 43 -16 + 8x = (-24 + -6x) + 43 Reorder the terms: -16 + 8x = -24 + 43 + -6x Combine like terms: -24 + 43 = 19 -16 + 8x = 19 + -6x Solving -16 + 8x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -16 + 8x + 6x = 19 + -6x + 6x Combine like terms: 8x + 6x = 14x -16 + 14x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 14x = 19 + 0 -16 + 14x = 19 Add '16' to each side of the equation. -16 + 16 + 14x = 19 + 16 Combine like terms: -16 + 16 = 0 0 + 14x = 19 + 16 14x = 19 + 16 Combine like terms: 19 + 16 = 35 14x = 35 Divide each side by '14'. x = 2.5 Simplifying x = 2.5
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