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Simplifying -2(3x + 5) = 3(4x + 3) Reorder the terms: -2(5 + 3x) = 3(4x + 3) (5 * -2 + 3x * -2) = 3(4x + 3) (-10 + -6x) = 3(4x + 3) Reorder the terms: -10 + -6x = 3(3 + 4x) -10 + -6x = (3 * 3 + 4x * 3) -10 + -6x = (9 + 12x) Solving -10 + -6x = 9 + 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. -10 + -6x + -12x = 9 + 12x + -12x Combine like terms: -6x + -12x = -18x -10 + -18x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -18x = 9 + 0 -10 + -18x = 9 Add '10' to each side of the equation. -10 + 10 + -18x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + -18x = 9 + 10 -18x = 9 + 10 Combine like terms: 9 + 10 = 19 -18x = 19 Divide each side by '-18'. x = -1.055555556 Simplifying x = -1.055555556
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