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Simplifying 5(3x + -2) = -7(x + -6) Reorder the terms: 5(-2 + 3x) = -7(x + -6) (-2 * 5 + 3x * 5) = -7(x + -6) (-10 + 15x) = -7(x + -6) Reorder the terms: -10 + 15x = -7(-6 + x) -10 + 15x = (-6 * -7 + x * -7) -10 + 15x = (42 + -7x) Solving -10 + 15x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 15x + 7x = 42 + -7x + 7x Combine like terms: 15x + 7x = 22x -10 + 22x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 22x = 42 + 0 -10 + 22x = 42 Add '10' to each side of the equation. -10 + 10 + 22x = 42 + 10 Combine like terms: -10 + 10 = 0 0 + 22x = 42 + 10 22x = 42 + 10 Combine like terms: 42 + 10 = 52 22x = 52 Divide each side by '22'. x = 2.363636364 Simplifying x = 2.363636364
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