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Simplifying 3(2x + -5) = 6 + 2(x + -4) Reorder the terms: 3(-5 + 2x) = 6 + 2(x + -4) (-5 * 3 + 2x * 3) = 6 + 2(x + -4) (-15 + 6x) = 6 + 2(x + -4) Reorder the terms: -15 + 6x = 6 + 2(-4 + x) -15 + 6x = 6 + (-4 * 2 + x * 2) -15 + 6x = 6 + (-8 + 2x) Combine like terms: 6 + -8 = -2 -15 + 6x = -2 + 2x Solving -15 + 6x = -2 + 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 = -2 + 2x + -2x Combine like terms: 6x + -2x = 4x -15 + 4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = -2 + 0 -15 + 4x = -2 Add '15' to each side of the equation. -15 + 15 + 4x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -2 + 15 4x = -2 + 15 Combine like terms: -2 + 15 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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