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Simplifying 8(x + -2) + 6(x + -2) = 7 Reorder the terms: 8(-2 + x) + 6(x + -2) = 7 (-2 * 8 + x * 8) + 6(x + -2) = 7 (-16 + 8x) + 6(x + -2) = 7 Reorder the terms: -16 + 8x + 6(-2 + x) = 7 -16 + 8x + (-2 * 6 + x * 6) = 7 -16 + 8x + (-12 + 6x) = 7 Reorder the terms: -16 + -12 + 8x + 6x = 7 Combine like terms: -16 + -12 = -28 -28 + 8x + 6x = 7 Combine like terms: 8x + 6x = 14x -28 + 14x = 7 Solving -28 + 14x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 14x = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 7 + 28 14x = 7 + 28 Combine like terms: 7 + 28 = 35 14x = 35 Divide each side by '14'. x = 2.5 Simplifying x = 2.5
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