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Simplifying 3x + (2) = (7x) + -1(-10) 3x + 2 = (7x) + -1(-10) Reorder the terms: 2 + 3x = (7x) + -1(-10) Multiply -1 * -10 2 + 3x = (7x) + 10 Reorder the terms: 2 + 3x = 10 + (7x) Solving 2 + 3x = 10 + (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. 2 + 3x + (-7x) = 10 + (7x) + (-7x) Combine like terms: 3x + (-7x) = -4x 2 + -4x = 10 + (7x) + (-7x) Combine like terms: (7x) + (-7x) = 0 2 + -4x = 10 + 0 2 + -4x = 10 Add '-2' to each side of the equation. 2 + -2 + -4x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 10 + -2 -4x = 10 + -2 Combine like terms: 10 + -2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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