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Simplifying 3(4x + -7) = 5(6x + -4) Reorder the terms: 3(-7 + 4x) = 5(6x + -4) (-7 * 3 + 4x * 3) = 5(6x + -4) (-21 + 12x) = 5(6x + -4) Reorder the terms: -21 + 12x = 5(-4 + 6x) -21 + 12x = (-4 * 5 + 6x * 5) -21 + 12x = (-20 + 30x) Solving -21 + 12x = -20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -21 + 12x + -30x = -20 + 30x + -30x Combine like terms: 12x + -30x = -18x -21 + -18x = -20 + 30x + -30x Combine like terms: 30x + -30x = 0 -21 + -18x = -20 + 0 -21 + -18x = -20 Add '21' to each side of the equation. -21 + 21 + -18x = -20 + 21 Combine like terms: -21 + 21 = 0 0 + -18x = -20 + 21 -18x = -20 + 21 Combine like terms: -20 + 21 = 1 -18x = 1 Divide each side by '-18'. x = -0.05555555556 Simplifying x = -0.05555555556
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