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Simplifying 5(2 + -3x) = -8 + -6x (2 * 5 + -3x * 5) = -8 + -6x (10 + -15x) = -8 + -6x Solving 10 + -15x = -8 + -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. 10 + -15x + 6x = -8 + -6x + 6x Combine like terms: -15x + 6x = -9x 10 + -9x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + -9x = -8 + 0 10 + -9x = -8 Add '-10' to each side of the equation. 10 + -10 + -9x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -8 + -10 -9x = -8 + -10 Combine like terms: -8 + -10 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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