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Simplifying 5(2x + -4x) + -2 = (3x + -7x) + 9 Combine like terms: 2x + -4x = -2x 5(-2x) + -2 = (3x + -7x) + 9 Remove parenthesis around (-2x) 5 * -2x + -2 = (3x + -7x) + 9 Multiply 5 * -2 -10x + -2 = (3x + -7x) + 9 Reorder the terms: -2 + -10x = (3x + -7x) + 9 Combine like terms: 3x + -7x = -4x -2 + -10x = (-4x) + 9 -2 + -10x = (-4x) + 9 Reorder the terms: -2 + -10x = 9 + (-4x) Solving -2 + -10x = 9 + (-4x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(4x)' to each side of the equation. -2 + -10x + (4x) = 9 + (-4x) + (4x) Combine like terms: -10x + (4x) = -6x -2 + -6x = 9 + (-4x) + (4x) Combine like terms: (-4x) + (4x) = 0 -2 + -6x = 9 + 0 -2 + -6x = 9 Add '2' to each side of the equation. -2 + 2 + -6x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 9 + 2 -6x = 9 + 2 Combine like terms: 9 + 2 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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