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Simplifying 5x + -3(3x + -8) = 2(3x + -8) + 5x Reorder the terms: 5x + -3(-8 + 3x) = 2(3x + -8) + 5x 5x + (-8 * -3 + 3x * -3) = 2(3x + -8) + 5x 5x + (24 + -9x) = 2(3x + -8) + 5x Reorder the terms: 24 + 5x + -9x = 2(3x + -8) + 5x Combine like terms: 5x + -9x = -4x 24 + -4x = 2(3x + -8) + 5x Reorder the terms: 24 + -4x = 2(-8 + 3x) + 5x 24 + -4x = (-8 * 2 + 3x * 2) + 5x 24 + -4x = (-16 + 6x) + 5x Combine like terms: 6x + 5x = 11x 24 + -4x = -16 + 11x Solving 24 + -4x = -16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 24 + -4x + -11x = -16 + 11x + -11x Combine like terms: -4x + -11x = -15x 24 + -15x = -16 + 11x + -11x Combine like terms: 11x + -11x = 0 24 + -15x = -16 + 0 24 + -15x = -16 Add '-24' to each side of the equation. 24 + -24 + -15x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -15x = -16 + -24 -15x = -16 + -24 Combine like terms: -16 + -24 = -40 -15x = -40 Divide each side by '-15'. x = 2.666666667 Simplifying x = 2.666666667
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