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Simplifying 5 + 3(2x + -3) = 6x + -2(x + -5) Reorder the terms: 5 + 3(-3 + 2x) = 6x + -2(x + -5) 5 + (-3 * 3 + 2x * 3) = 6x + -2(x + -5) 5 + (-9 + 6x) = 6x + -2(x + -5) Combine like terms: 5 + -9 = -4 -4 + 6x = 6x + -2(x + -5) Reorder the terms: -4 + 6x = 6x + -2(-5 + x) -4 + 6x = 6x + (-5 * -2 + x * -2) -4 + 6x = 6x + (10 + -2x) Reorder the terms: -4 + 6x = 10 + 6x + -2x Combine like terms: 6x + -2x = 4x -4 + 6x = 10 + 4x Solving -4 + 6x = 10 + 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. -4 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x -4 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 2x = 10 + 0 -4 + 2x = 10 Add '4' to each side of the equation. -4 + 4 + 2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 10 + 4 2x = 10 + 4 Combine like terms: 10 + 4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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