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Simplifying 8 + 2(x + -8) = 10 + -6(x + -3) Reorder the terms: 8 + 2(-8 + x) = 10 + -6(x + -3) 8 + (-8 * 2 + x * 2) = 10 + -6(x + -3) 8 + (-16 + 2x) = 10 + -6(x + -3) Combine like terms: 8 + -16 = -8 -8 + 2x = 10 + -6(x + -3) Reorder the terms: -8 + 2x = 10 + -6(-3 + x) -8 + 2x = 10 + (-3 * -6 + x * -6) -8 + 2x = 10 + (18 + -6x) Combine like terms: 10 + 18 = 28 -8 + 2x = 28 + -6x Solving -8 + 2x = 28 + -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. -8 + 2x + 6x = 28 + -6x + 6x Combine like terms: 2x + 6x = 8x -8 + 8x = 28 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 8x = 28 + 0 -8 + 8x = 28 Add '8' to each side of the equation. -8 + 8 + 8x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 28 + 8 8x = 28 + 8 Combine like terms: 28 + 8 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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