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Simplifying 3(x + -5) = 6(2x + -7) Reorder the terms: 3(-5 + x) = 6(2x + -7) (-5 * 3 + x * 3) = 6(2x + -7) (-15 + 3x) = 6(2x + -7) Reorder the terms: -15 + 3x = 6(-7 + 2x) -15 + 3x = (-7 * 6 + 2x * 6) -15 + 3x = (-42 + 12x) Solving -15 + 3x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 3x + -12x = -42 + 12x + -12x Combine like terms: 3x + -12x = -9x -15 + -9x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -9x = -42 + 0 -15 + -9x = -42 Add '15' to each side of the equation. -15 + 15 + -9x = -42 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = -42 + 15 -9x = -42 + 15 Combine like terms: -42 + 15 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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