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Simplifying 6x + -3(2x + 5) = 8 + -2(3 + -2x) + 3 Reorder the terms: 6x + -3(5 + 2x) = 8 + -2(3 + -2x) + 3 6x + (5 * -3 + 2x * -3) = 8 + -2(3 + -2x) + 3 6x + (-15 + -6x) = 8 + -2(3 + -2x) + 3 Reorder the terms: -15 + 6x + -6x = 8 + -2(3 + -2x) + 3 Combine like terms: 6x + -6x = 0 -15 + 0 = 8 + -2(3 + -2x) + 3 -15 = 8 + -2(3 + -2x) + 3 -15 = 8 + (3 * -2 + -2x * -2) + 3 -15 = 8 + (-6 + 4x) + 3 Reorder the terms: -15 = 8 + -6 + 3 + 4x Combine like terms: 8 + -6 = 2 -15 = 2 + 3 + 4x Combine like terms: 2 + 3 = 5 -15 = 5 + 4x Solving -15 = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + -4x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -4x = 5 + 0 -15 + -4x = 5 Add '15' to each side of the equation. -15 + 15 + -4x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 5 + 15 -4x = 5 + 15 Combine like terms: 5 + 15 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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