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Simplifying 8 + 6(x + -4) = 5 + -3(x + -3) Reorder the terms: 8 + 6(-4 + x) = 5 + -3(x + -3) 8 + (-4 * 6 + x * 6) = 5 + -3(x + -3) 8 + (-24 + 6x) = 5 + -3(x + -3) Combine like terms: 8 + -24 = -16 -16 + 6x = 5 + -3(x + -3) Reorder the terms: -16 + 6x = 5 + -3(-3 + x) -16 + 6x = 5 + (-3 * -3 + x * -3) -16 + 6x = 5 + (9 + -3x) Combine like terms: 5 + 9 = 14 -16 + 6x = 14 + -3x Solving -16 + 6x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -16 + 6x + 3x = 14 + -3x + 3x Combine like terms: 6x + 3x = 9x -16 + 9x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + 9x = 14 + 0 -16 + 9x = 14 Add '16' to each side of the equation. -16 + 16 + 9x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 14 + 16 9x = 14 + 16 Combine like terms: 14 + 16 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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