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Simplifying 3(2x + -5) = 6 + 2(x + -3) Reorder the terms: 3(-5 + 2x) = 6 + 2(x + -3) (-5 * 3 + 2x * 3) = 6 + 2(x + -3) (-15 + 6x) = 6 + 2(x + -3) Reorder the terms: -15 + 6x = 6 + 2(-3 + x) -15 + 6x = 6 + (-3 * 2 + x * 2) -15 + 6x = 6 + (-6 + 2x) Combine like terms: 6 + -6 = 0 -15 + 6x = 0 + 2x -15 + 6x = 2x Solving -15 + 6x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x -15 + 4x = 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = 0 Add '15' to each side of the equation. -15 + 15 + 4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 0 + 15 4x = 0 + 15 Combine like terms: 0 + 15 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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