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Simplifying 5(x + 6) = -3(5x + -8) + 6x Reorder the terms: 5(6 + x) = -3(5x + -8) + 6x (6 * 5 + x * 5) = -3(5x + -8) + 6x (30 + 5x) = -3(5x + -8) + 6x Reorder the terms: 30 + 5x = -3(-8 + 5x) + 6x 30 + 5x = (-8 * -3 + 5x * -3) + 6x 30 + 5x = (24 + -15x) + 6x Combine like terms: -15x + 6x = -9x 30 + 5x = 24 + -9x Solving 30 + 5x = 24 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 30 + 5x + 9x = 24 + -9x + 9x Combine like terms: 5x + 9x = 14x 30 + 14x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 30 + 14x = 24 + 0 30 + 14x = 24 Add '-30' to each side of the equation. 30 + -30 + 14x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 24 + -30 14x = 24 + -30 Combine like terms: 24 + -30 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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