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Simplifying 5 + 2(x + -8) = 11 + -6(x + -3) Reorder the terms: 5 + 2(-8 + x) = 11 + -6(x + -3) 5 + (-8 * 2 + x * 2) = 11 + -6(x + -3) 5 + (-16 + 2x) = 11 + -6(x + -3) Combine like terms: 5 + -16 = -11 -11 + 2x = 11 + -6(x + -3) Reorder the terms: -11 + 2x = 11 + -6(-3 + x) -11 + 2x = 11 + (-3 * -6 + x * -6) -11 + 2x = 11 + (18 + -6x) Combine like terms: 11 + 18 = 29 -11 + 2x = 29 + -6x Solving -11 + 2x = 29 + -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. -11 + 2x + 6x = 29 + -6x + 6x Combine like terms: 2x + 6x = 8x -11 + 8x = 29 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 8x = 29 + 0 -11 + 8x = 29 Add '11' to each side of the equation. -11 + 11 + 8x = 29 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 29 + 11 8x = 29 + 11 Combine like terms: 29 + 11 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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